Algebra EOC Practice - Patterns and Number Sense

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2) Match the Next and Now equation with the correct number sequence. Next = 3(Now) – 2

2, 7, 17, 37, 77…

2, 4, 10, 28, 82…

2, -8, 22, -68, 202…

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5) Match the Next and Now equation with the correct number sequence. Next = -3(Now) – 2

2, 4, 10, 28, 82…

2, 7, 17, 37, 77…

2, -8, 22, -68, 202…

The given number sequence follows the pattern of multiplying each term by -3 and subtracting 2 to get the next term. Starting with 2, we have -3(2) - 2 = -8. Then, -3(-8) - 2 = 22. Continuing this pattern, we have -3(22) - 2 = -68, and -3(-68) - 2 = 202. Therefore, the correct number sequence is 2, -8, 22, -68, 202.

Explanation

The given number sequence follows the pattern of multiplying each term by -3 and subtracting 2 to get the next term. Starting with 2, we have -3(2) - 2 = -8. Then, -3(-8) - 2 = 22. Continuing this pattern, we have -3(22) - 2 = -68, and -3(-68) - 2 = 202. Therefore, the correct number sequence is 2, -8, 22, -68, 202.

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12) Match the Next and Now equation with the correct number sequence. Next = 3 + 2(Now)

2, -8, 22, -68, 202…

2, 4, 10, 28, 82…

2, 7, 17, 37, 77…

The correct answer is 2, 7, 17, 37, 77... The pattern in this sequence can be found by using the equation Next = 3 + 2(Now). Starting with 2 as the initial value (Now), we can plug it into the equation to find the next number. 3 + 2(2) = 7. Continuing this pattern, we can find the subsequent numbers in the sequence. 3 + 2(7) = 17, 3 + 2(17) = 37, and so on. Therefore, the correct answer is 2, 7, 17, 37, 77...

Explanation

The correct answer is 2, 7, 17, 37, 77... The pattern in this sequence can be found by using the equation Next = 3 + 2(Now). Starting with 2 as the initial value (Now), we can plug it into the equation to find the next number. 3 + 2(2) = 7. Continuing this pattern, we can find the subsequent numbers in the sequence. 3 + 2(7) = 17, 3 + 2(17) = 37, and so on. Therefore, the correct answer is 2, 7, 17, 37, 77...