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 sub 2 is equal to 11

a2=−9
A sub 2 is equal to negative 9

a2=12
A sub 2 is equal to 12

a2=2

Answer 1

To find the second term of the sequence \( a_2 \), we can use the recursive formula given:

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

Using this formula to find the second term \( a_2 \):

\[
a_2 = a_1 - 10
\]
\[
a_2 = 22 - 10
\]
\[
a_2 = 12
\]

So, the second term of the sequence is \( a_2 = 12 \).

The correct response is:
**a2=12**
**A sub 2 is equal to 12**.