# 9108 Number Patterns First 3 Terms From Rule

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| By Anthony Nunan
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Anthony Nunan
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Above is a rule for an Arithmetic Sequence. Often it will be written a = 14 + 10n, without the subscript n on the a. They mean the same thing. In this quiz, we are calculating the first 3 terms of a sequence using a rule, and giving out answers using a comma space separation. The answer for this problem is : 24, 34, 44

• 1.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The sequence generated by the rule above starts with 0 and each subsequent term is obtained by adding 200 to the previous term. Therefore, the first three terms in the sequence are 0, 200, and 400.

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• 2.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The first three terms in the sequence generated by the rule above are 32, 39, and 46.

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• 3.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence starts with 7 and then adds 20 to each consecutive term. So, the next term would be 7 + 20 = 27, and the term after that would be 27 + 20 = 47. Therefore, the first three terms in the sequence are 7, 27, and 47.

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• 4.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by adding 8 to the previous term. Starting with -30, we add 8 to get -22, and then add 8 again to get -14. Therefore, the first three terms in the sequence are -30, -22, and -14.

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• 5.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence follows the rule of adding 100 to each term. Starting with -27, when we add 100, we get 73. Adding 100 to 73 gives us 173. Therefore, the first three terms in the sequence are -27, 73, and 173.

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• 6.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The sequence is generated by adding 6 to the previous term. Starting with -3, we add 6 to get the next term which is 3. Then, we add 6 to 3 to get the last term which is 9. Therefore, the first three terms in the sequence are -3, 3, and 9.

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• 7.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The first three terms in the sequence are 34, 37, and 40. This can be determined by observing that each term is obtained by adding 3 to the previous term. Starting with 34, we add 3 to get 37, and then add 3 again to get 40. Therefore, the first three terms in the sequence are 34, 37, and 40.

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• 8.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence starts with 39 and each subsequent term is obtained by adding 20 to the previous term. Therefore, the next term would be 79, and the three terms in the sequence are 39, 59, and 79.

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• 9.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence starts with -39 and each subsequent term is obtained by adding the square of the previous term. Starting with -39, we get 161 by adding the square of -39, which is 1521. Similarly, we get 361 by adding the square of 161, which is 25921. Therefore, the first three terms in the sequence are -39, 161, and 361.

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• 10.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 4 from each term. Starting with -12, we subtract 4 to get -16, and then subtract 4 again to get -20. Therefore, the first three terms in the sequence are -12, -16, and -20.

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• 11.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 2 from the previous term. Starting from -37, we subtract 2 to get -39, and then subtract 2 again to get -41. Therefore, the first three terms in the sequence are -37, -39, and -41.

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• 12.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 8 from the previous term. This pattern is consistent throughout the sequence, resulting in the terms -25, -33, and -41.

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• 13.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence follows a rule where each term is obtained by subtracting 7 from the previous term. Starting with the first term 2, we subtract 7 to get the second term -5. Then, subtracting 7 from -5 gives us the third term -12. Therefore, the first three terms in the sequence are 2, -5, -12.

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• 14.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 9 from each term. Starting with -10, we subtract 9 to get -19, and then subtract 9 again to get -28. Therefore, the first three terms in the sequence are -10, -19, and -28.

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• 15.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 10 from the previous term. Starting with 15, we subtract 10 to get the next term, which is 5. Then, we subtract 10 from 5 to get the final term, which is -5. Therefore, the first three terms in the sequence are 15, 5, -5.

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• 16.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 6 from each term. Starting with -17, subtracting 6 gives -23, and subtracting 6 again gives -29. Therefore, the first three terms in the sequence are -17, -23, and -29.

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• 17.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 10 from each term. Starting with -5, we subtract 10 to get -15, and then subtract 10 again to get -25. Therefore, the first three terms in the sequence are -5, -15, and -25.

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• 18.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence appears to be generated by subtracting 200 from the previous term. Starting with 20, when we subtract 200, we get -180. Similarly, when we subtract 200 from -180, we get -380. Therefore, the first three terms in the sequence generated by the given rule are 20, -180, and -380.

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• 19.

### What are the first three terms in the sequence generated by the rule above.

Explanation
The given sequence is generated by subtracting 200 from the previous term. Starting with -34, we subtract 200 to get -234, and then subtract 200 again to get -434. Therefore, the first three terms in the sequence are -34, -234, and -434.

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• Current Version
• May 20, 2023
Quiz Edited by
ProProfs Editorial Team
• May 12, 2014
Quiz Created by
Anthony Nunan

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