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

. 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

1 answer

To find the third term of the given arithmetic sequence defined by the recursive formula a1=15 and an=an1+22, we can calculate the terms step by step.

  1. The first term is given as: a1=15

  2. To find the second term: a2=a1+22=15+22=37

  3. To find the third term: a3=a2+22=37+22=59

Thus, the third term a3 is: a3=59

Therefore, the answer is: a3=59