# 9044 Number Patterns Geometric R & R

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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 44,578
Questions: 49 | Attempts: 157

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Convert % values (R), to decimal values (r) in order to use the formula to find your sequence or series.

• 1.

### I am going to increase the amount I save by 3%. This makes R = 3%. What is the value of r?

Explanation
The value of r is 1.03 because it represents the increase in the amount saved by 3%. R is used to denote the percentage increase, so when R is equal to 3%, it can be represented as 1.03.

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• 2.

### I am going to increase the amount I save by 6%. This makes R = 6%. What is the value of r?

Explanation
The value of r is 1.06 because when the amount saved is increased by 6%, it means that the new amount is 106% of the original amount. In decimal form, 106% is equal to 1.06.

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• 3.

### I am going to increase the amount I save by 7%. This makes R = 7%. What is the value of r?

Explanation
The value of r is 1.07 because when the amount saved is increased by 7%, it means the new amount is 107% of the original amount. To find the value of r, which represents the decimal form of the percentage, we divide 107% by 100%. This gives us 1.07.

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• 4.

### I am going to increase the amount I save by 15%. This makes R = 15%. What is the value of r?

Explanation
The value of r is 1.15 because when the amount saved is increased by 15%, it means that the new amount is 115% of the original amount. Therefore, r can be expressed as 1.15.

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• 5.

### I am going to increase the amount I save by 21%. This makes R = 21%. What is the value of r?

Explanation
The value of r is 1.21 because when the amount saved is increased by 21%, the new value is equal to 1.21 times the original value.

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• 6.

### I am going to increase the amount I save by 32%. This makes R = 32%. What is the value of r?

Explanation
The value of r is 1.32. This is because the statement "I am going to increase the amount I save by 32%" implies that the new amount of savings will be 32% more than the original amount. Therefore, the value of r, which represents the increase in savings, is 1.32.

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• 7.

### I am going to increase the amount I save by 34%. This makes R = 34%. What is the value of r?

Explanation
The value of r is 1.34 because the question states that the amount saved is going to increase by 34%. If we represent the amount saved as r, then increasing it by 34% would mean adding 34% of r to r. Mathematically, this can be expressed as r + 0.34r = 1.34r. Therefore, the value of r is 1.34.

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• 8.

### I am going to increase the amount I save by 43%. This makes R = 43%. What is the value of r?

Explanation
The value of r is 1.43 because it represents the percentage increase in the amount saved. In this case, the amount saved is being increased by 43%, so r is equal to 43%.

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• 9.

### I am going to increase the amount I save by 153%. This makes R = 153%. What is the value of r?

Explanation
The value of r is 2.53 because when we increase the amount by 153%, we are essentially multiplying it by 1.53. Therefore, r can be calculated by dividing R (153%) by 100, resulting in 1.53.

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• 10.

### I am going to increase the amount I save by 165%. This makes R = 165%. What is the value of r?

Explanation
The value of r can be found by dividing the percentage value by 100. In this case, since R is equal to 165%, dividing it by 100 gives us 1.65. Therefore, the value of r is 1.65.

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• 11.

### I am going to increase the amount I save by 167%. This makes R = 167%. What is the value of r?

Explanation
The value of r can be calculated by dividing R by 100. In this case, R is equal to 167%, so dividing 167 by 100 gives us the value of r, which is 1.67.

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• 12.

### I am going to increase the amount I save by 186%. This makes R = 186%. What is the value of r?

Explanation
The value of r can be calculated by dividing R (186%) by 100. This gives us 1.86. Therefore, the value of r is 1.86.

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• 13.

### I am going to increase the amount I save by 195%. This makes R = 195%. What is the value of r?

Explanation
The value of r can be calculated by dividing R by 100 and then subtracting that value from 1. In this case, R is 195%, so dividing it by 100 gives us 1.95. Subtracting 1.95 from 1 gives us the value of r, which is 0.95.

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• 14.

### I am going to increase the amount I save by 198%. This makes R = 198%. What is the value of r?

Explanation
The value of r can be calculated by dividing R by 100 and adding 1. In this case, R is 198%, so r would be 198/100 + 1 = 2.98.

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• 15.

### I am going to decrease the amount I save by 4%. This makes R = -4%. What is the value of r?

Explanation
The value of r is 0.96 because when the amount saved is decreased by 4%, it means that only 96% of the original amount is saved. Therefore, r represents the decimal equivalent of the percentage, which is 0.96.

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• 16.

### I am going to decrease the amount I save by 7%. This makes R = -7%. What is the value of r?

Explanation
The value of r is 0.93 because when we decrease the amount by 7%, it means we are left with 93% of the original amount. Therefore, r is equal to 0.93.

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• 17.

### I am going to decrease the amount I save by 8%. This makes R = -8%. What is the value of r?

Explanation
The value of r is 0.92 because when the amount saved is decreased by 8%, the remaining amount is equal to 92% of the original amount.

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• 18.

### I am going to decrease the amount I save by 16%. This makes R = -16%. What is the value of r?

Explanation
The value of r is 0.84 because when the amount saved is decreased by 16%, the remaining amount is 84% of the original value.

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• 19.

### I am going to decrease the amount I save by 22%. This makes R = -22%. What is the value of r?

Explanation
The value of r is 0.78. This can be determined by converting the percentage R into a decimal by dividing it by 100. In this case, -22% becomes -0.22. Then, to find the value of r, we subtract the decimal from 1. So, 1 - (-0.22) = 1 + 0.22 = 1.22. Finally, we convert 1.22 into a decimal by dividing it by 100, resulting in 0.0122. Therefore, r = 0.78.

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• 20.

### I am going to decrease the amount I save by 33%. This makes R = -33%. What is the value of r?

Explanation
The value of r is 0.67 because when we decrease the amount by 33%, we are left with 67% of the original value. Therefore, r is equal to 0.67.

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• 21.

### I am going to decrease the amount I save by 35%. This makes R = -35%. What is the value of r?

Explanation
The value of r is 0.65 because when the amount saved is decreased by 35%, it means that only 65% of the original amount is being saved. Therefore, r represents the decimal value of the percentage saved, which is 0.65.

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• 22.

### I am going to decrease the amount I save by 44%. This makes R = -44%. What is the value of r?

Explanation
The value of r is 0.56 because when the amount saved is decreased by 44%, the remaining amount is 56% of the original value.

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• 23.

### I am going to decrease the amount I save by 54%. This makes R = -54%. What is the value of r?

Explanation
The value of r is 0.46 because when the amount saved is decreased by 54%, the remaining amount is equal to 46% of the original amount.

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• 24.

### I am going to decrease the amount I save by 66%. This makes R = -66%. What is the value of r?

Explanation
The value of r is 0.34 because when the amount saved is decreased by 66%, it means that only 34% of the original amount is being saved. This can be calculated by subtracting 66% from 100%, which gives us 34%. Therefore, the value of r is 0.34.

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• 25.

### I am going to decrease the amount I save by 68%. This makes R = -68%. What is the value of r?

Explanation
The value of r is 0.32 because when the amount saved is decreased by 68%, it means that only 32% of the original amount is being saved. Therefore, r is equal to 0.32.

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• 26.

### I am going to decrease the amount I save by 87%. This makes R = -87%. What is the value of r?

Explanation
The value of r is 0.13 because when the amount saved is decreased by 87%, the remaining amount saved is 13% of the original amount.

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• 27.

### I am going to decrease the amount I save by 96%. This makes R = -96%. What is the value of r?

Explanation
The question states that the amount saved is going to be decreased by 96%. In mathematical terms, this can be represented as R = -96%. The value of r can be calculated by converting the percentage to a decimal. To do this, we divide -96 by 100, which gives us -0.96. Since the value of r is the opposite sign of R, we take the absolute value of -0.96, which is 0.96. Therefore, the value of r is 0.96.

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• 28.

### I am going to decrease the amount I save by 99%. This makes R = -99%. What is the value of r?

Explanation
The question states that the amount saved is going to be decreased by 99%. This means that only 1% of the original amount will be saved. In mathematical terms, if R represents the amount saved and it is being decreased by 99%, then the new value of R can be calculated as 1% or 0.01. Therefore, the value of r is 0.01.

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• 29.

### I am going to increase the amount I save by 5%. This makes R = 5%. What is the value of r?

Explanation
The value of r is 1.05 because when the amount saved is increased by 5%, it means that the new amount is 105% of the original amount. To find the value of r, we need to convert 105% to decimal form, which is 1.05.

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• 30.

### I am going to increase the amount I save by 8%. This makes R = 8%. What is the value of r?

Explanation
The value of r is 1.08 because when the amount saved is increased by 8%, it means that the new amount is 108% of the original amount. To find the value of r, which represents the original amount, we need to divide the new amount by 100%. So 108% divided by 100% equals 1.08.

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• 31.

### I am going to increase the amount I save by 9%. This makes R = 9%. What is the value of r?

Explanation
The value of r in this scenario represents the percentage increase in the amount saved. Since the statement mentions that the amount saved is going to increase by 9%, it implies that r is equal to 9%. Therefore, the value of r is 1.09.

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• 32.

### I am going to increase the amount I save by 16%. This makes R = 16%. What is the value of r?

Explanation
The value of r is 1.16 because it represents the increase in the amount saved, which is 16%.

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• 33.

### I am going to increase the amount I save by 22%. This makes R = 22%. What is the value of r?

Explanation
The value of r is 1.22 because the statement "I am going to increase the amount I save by 22%" implies that the increase is 22% of the original amount. Therefore, the new amount is 100% + 22% = 122% of the original amount. In decimal form, this is 1.22.

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• 34.

### I am going to increase the amount I save by 33%. This makes R = 33%. What is the value of r?

Explanation
The value of r is 1.33 because when the amount saved is increased by 33%, it means that the new amount is 133% of the original amount. Therefore, r can be calculated by dividing 133% by 100%, which equals 1.33.

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• 35.

### I am going to increase the amount I save by 35%. This makes R = 35%. What is the value of r?

Explanation
The value of r is 1.35 because when the amount saved is increased by 35%, it means that the new amount is 135% of the original amount. To find the value of r, which represents the original amount, we need to divide the new amount by 135%. Dividing 135% by 100% gives us 1.35. Therefore, the value of r is 1.35.

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• 36.

### I am going to increase the amount I save by 47%. This makes R = 47%. What is the value of r?

Explanation
The value of r is 1.47 because the given statement states that the amount saved will be increased by 47%, which can be represented as R = 47%. Since R is equivalent to r/100, we can solve for r by multiplying R by 100, resulting in r = 1.47.

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• 37.

### I am going to increase the amount I save by 123%. This makes R = 123%. What is the value of r?

Explanation
The value of r is 2.23 because when the amount saved is increased by 123%, the value of r represents the percentage increase. In this case, the increase is 123%, so r is equal to 2.23.

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• 38.

### I am going to increase the amount I save by 134%. This makes R = 134%. What is the value of r?

Explanation
The value of r can be calculated by dividing the percentage increase by 100 and adding 1. In this case, since the increase is 134%, we divide 134 by 100 and add 1, which gives us 2.34. Therefore, the value of r is 2.34.

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• 39.

### I am going to increase the amount I save by 148%. This makes R = 148%. What is the value of r?

Explanation
The value of r can be found by dividing the given percentage value, 148%, by 100. By doing this calculation, we get 1.48. Therefore, the value of r is 1.48.

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• 40.

### I am going to increase the amount I save by 177%. This makes R = 177%. What is the value of r?

Explanation
The value of r can be found by dividing R (177%) by 100. This will give us the decimal representation of the percentage. Therefore, r = 177% / 100 = 1.77.

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• 41.

### I am going to increase the amount I save by 191%. This makes R = 191%. What is the value of r?

Explanation
The value of r can be found by dividing R (191%) by 100. This gives us 1.91. Therefore, the value of r is 1.91.

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• 42.

### I am going to increase the amount I save by 193%. This makes R = 193%. What is the value of r?

Explanation
The value of r can be found by dividing the given value R (193%) by 100. This is because R represents a percentage, and to convert a percentage to a decimal, we divide it by 100. Therefore, by dividing 193% by 100, we get the value of r as 1.93.

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• 43.

### I am going to decrease the amount I save by 6%. This makes R = -6%. What is the value of r?

Explanation
The value of r can be calculated by subtracting the percentage decrease from 100%. In this case, since the amount saved is being decreased by 6%, the value of r would be 100% - 6% = 94%. Therefore, the value of r is 0.94.

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• 44.

### I am going to decrease the amount I save by 9%. This makes R = -9%. What is the value of r?

Explanation
The value of r is 0.91 because when the amount saved is decreased by 9%, the remaining amount is 91% of the original value. Therefore, r is equal to 0.91.

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• 45.

### I am going to decrease the amount I save by 10%. This makes R = -10%. What is the value of r?

Explanation
The value of r is 0.9 because when the amount saved is decreased by 10%, it means that 90% of the original amount is saved. Therefore, r is equal to 0.9.

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• 46.

### I am going to decrease the amount I save by 17%. This makes R = -17%. What is the value of r?

Explanation
The value of r is 0.83 because when the amount saved is decreased by 17%, the remaining amount is equal to 83% of the original amount. Thus, r represents the decimal form of 83%, which is 0.83.

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• 47.

### I am going to decrease the amount I save by 23%. This makes R = -23%. What is the value of r?

Explanation
The value of r is 0.77 because when the amount saved is decreased by 23%, it means that only 77% of the original amount is being saved. Therefore, r is equal to 0.77.

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• 48.

### I am going to decrease the amount I save by 34%. This makes R = -34%. What is the value of r?

Explanation
The value of r is 0.66 because when the amount saved is decreased by 34%, it means that only 66% of the original amount is saved. Therefore, r represents the percentage of the original amount that is saved, which is 0.66 or 66%.

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• 49.

### I am going to decrease the amount I save by 36%. This makes R = -36%. What is the value of r?

Explanation
The value of r is 0.64 because when the amount saved is decreased by 36%, the remaining amount is 64% of the original amount. Therefore, r is equal to 0.64.

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• Current Version
• Mar 20, 2023
Quiz Edited by
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• May 18, 2014
Quiz Created by
Anthony Nunan