Decide Whether the Given Sequence Is Finite or Infinite $$a _ { 1 } = 2 ; \text { for } 2 \leq n \leq 15 , a _ { n } = 2 \cdot a _ { n - 1 } + 5$$

Decide whether the given sequence is finite or infinite.
- $$a _ { 1 } = 2 ; \text { for } 2 \leq n \leq 15 , a _ { n } = 2 \cdot a _ { n - 1 } + 5$$

A) Finite
B) Infinite