Question

Given the recursive formula for the arithmetic sequence a1=22
, an=an−1−10
, find the second term of the sequence.(1 point)
Responses

a2=12
a subscript 2 baseline equals 12

a2=11
a subscript 2 baseline equals 11

a2=−9
a subscript 2 baseline equals negative 9

a2=2

Answer 1

To find the second term of the arithmetic sequence given the recursive formula \( a_1 = 22 \) and \( a_n = a_{n-1} - 10 \):

1. Start with \( a_1 = 22 \).
2. Apply the recursive formula to find \( a_2 \):
\[
a_2 = a_1 - 10 = 22 - 10 = 12
\]

So, the second term of the sequence is:

\[
a_2 = 12
\]

The correct response is:
**a2=12**