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=11
a subscript 2 baseline equals 11

a2=12
a subscript 2 baseline equals 12

a2=2
a subscript 2 baseline equals 2

a2=−9

Answer 1

To find the second term \( a_2 \) of the arithmetic sequence given by the recursive formula:

1. The first term is provided as \( a_1 = 22 \).
2. The recursive formula is \( a_n = a_{n-1} - 10 \).

Using this formula to find \( a_2 \):

\[
a_2 = a_1 - 10
\]
Substituting the value of \( a_1 \):

\[
a_2 = 22 - 10 = 12
\]

Therefore, the second term \( a_2 \) is \( 12 \).

So the correct response is:

**a2=12**