Question

The recursive formula for an arithmetic sequence is:

a1 = -10
an = an-1+3
What is the 3rd term in the sequence?
A. -16
B. -30
C. -7
D. -4

Answer 1

D. -4

Explanation:

a1 is the first term.

a1 = -10

an = an-1 + 3

The recursive formula means that each term after the first term is 3 more than the previous term.

a2 = a1 + 3 = -10 + 3 = -7

a3 = a2 + 3 = -7 + 3 = -4