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, -3 d) -3, -6, 3

Answer

Step-by-step explanation:

We already have the first three terms and need the next three terms.

a(n) = 9 + a(n-1).  In words:  the nth term of this sequence is 9 plus the previous term.

Thus, a(2) = 9 + a(1), or a(2) = 9 + (-1},2) = -3.

a(3) = 9 - 3 = 6

a(4) = 9 + 6 = 12

a(5) = 9 + 12 = 21

a(6) = 9 + 21 = 30

According to your definition of a(n), the next three terms are {12, 21, 30}.  Note how each new term is equal to the previous term, plus 9.

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step-by-step explanation: