SAT Math Practice Question #22994 - SATify | SATify

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SAT Math Practice Question #22994 - SATify | SATify

#22994

sequences and series

algebra

Recurrence Relations

medium

120 sec

Let $a_{1}, a_{2}, \dots$ be a sequence for which $a_{1} = 1$ , $a_{2} = 2$ , and $a_{n} = \frac{a _{n - 1}}{a _{n - 2}}$ for each positive integer $n \geq 3$ . What is $a_{2025}$ ?

A.

$1$

B.

$2$

C.

$\frac{1}{2}$

D.

$\frac{3}{2}$

E.

$\frac{5}{2}$