Ononot — A sequence is conjectured to have the closed form an = 5 \cd

Recursionhard

0:00.0

A sequence is conjectured to have the closed form $a_n = 5 \cdot 2^n - 3 \cdot (-1)^n$ and satisfy the recurrence $a_n = a_{n-1} + 2a_{n-2}$ for $n \geq 2$ . Which statement is correct?