The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the sequence? A) -3, -15, -27 B) -3, 6, 15 C) -3, -6, …

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asked Aug 19, 2020 5.9k views

2 Answers

Aaronvargas · Answer 1 · 2020-08-22T06:00:39+0000

The next 3 terms in the sequence are -3, 6, and 15.

To find the next 3 terms in the sequence, we can use the recursive formula an = an-1 + 9.

Starting with the first term, which is -12, we can substitute this value into the formula to find the second term: a2 = a1 + 9 = -12 + 9 = -3.

Continuing this process, we can find the next terms: a3 = a2 + 9 = -3 + 9 = 6, a4 = a3 + 9 = 6 + 9 = 15, and a5 = a4 + 9 = 15 + 9 = 24.

Therefore, the next 3 terms in the sequence are -3, 6, and 15.