Given the recursive formula for the arithmetic sequence a1=22

Question

, an=an−1−10
, find the second term of the sequence.(1 point)
Responses

a2=−9
a subscript 2 baseline equals negative 9

a2=2
a subscript 2 baseline equals 2

a2=11
a subscript 2 baseline equals 11

a2=12

Answer 1

To find the second term of the arithmetic sequence given the recursive formula, we start with the first term and apply the recursive relation to find the second term.

The first term is given as \( a_1 = 22 \).

The recursive formula is: \[ a_n = a_{n-1} - 10 \]

To find the second term \( a_2 \): \[ a_2 = a_1 - 10 \] Substituting the value of \( a_1 \): \[ a_2 = 22 - 10 = 12 \]

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

The correct response is: a2=12