SAT Math Practice Question #21480 - SATify | SATify

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SAT Math Practice Question #21480 - SATify | SATify

#21480

recursion

sequences and series

Recurrence Relations

medium

120 sec

The Fibonacci numbers are defined by $F_{1} = 1, F_{2} = 1$ , and $F_{n} = F_{n - 1} + F_{n - 2}$ for $n \geq 3$ . What is

$\frac{F _{3}}{F _{1}} + \frac{F _{6}}{F _{2}} + \frac{F _{9}}{F _{3}} + \dots + \frac{F _{24}}{F _{8}}$ ?

A.

3568

B.

3569

C.

3570

D.

3571

E.

3572