Question

Find the second term of the recursively defined arithmetic sequence a1=3, an=an−1+7
(2 points)
Responses

a2=5
A sub 2 is equal to 5

a2=7
A sub 2 is equal to 7

a2=3
A sub 2 is equal to 3

a2=10

Answer 1

To find the second term \( a_2 \) of the recursively defined arithmetic sequence given by \( a_1 = 3 \) and \( a_n = a_{n-1} + 7 \), we can use the recursive formula.

Starting with:

- \( a_1 = 3 \)

To find \( a_2 \):

\[
a_2 = a_1 + 7 = 3 + 7 = 10
\]

Therefore, the second term \( a_2 \) is \( 10 \).

The correct response is:

**a2=10**
**A sub 2 is equal to 10**