Given the recursive formula for the arithmetic sequence a1=15, an=an−1+22

Question

. Find the third term in the sequence.(1 point)
Responses

a3=37
A sub 3 is equal to 37

a3=−7
A sub 3 is equal to negative 7

a3=59
A sub 3 is equal to 59

Answer 1

To find the third term of the given arithmetic sequence defined by the recursive formula $a_1=15$ and $a_n=a_{n-1}+22$, we can calculate the terms step by step.

1. The first term is given as: $$a_1=15$$

2. To find the second term: $$a_2=a_1+22=15+22=37$$

3. To find the third term: $$a_3=a_2+22=37+22=59$$

Thus, the third term $a_3$ is: $$a_3=59$$

Therefore, the answer is: a3=59