Find n for the sequence for which an = 37, a1 = -13 and d = 5. a. 11 c. -13 b. 9 d. -37

option a. 11.

Explanation:

1) Since, d is constant, the data given corresponds to an arithmetic sequence.

2) The formula for arithmetic sequences is:



3) You have:



4) Then:

37 = -13 + 5 (n - 1), and you can solve for n:

n - 1 = (37 + 13) / 5 = 50 / 5 = 10

⇒ n = 10 + 1 = 11.

Therefore, the answer is n = 11.