Question

Given the sequence 34, 42, 50,58, 66.. find the recursive formula & explicit formulas

Answer 1

Sequence: 34, 42, 50, 58, 66

Since the difference between consecutive terms is 8, we deduce it is an arithmetic sequence, the recursive formula would be:

$a_n=a_{n-1}+8$

Given that the first term is 34 and the common difference is 8, the explicit formula would be:

$a_n=34+(n-1)\cdot8$