SAT Math Practice Question #21479 - SATify | SATify

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SAT Math Practice Question #21479 - SATify | SATify

#21479

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

$\frac{F _{2}}{F _{1}} + \frac{F _{4}}{F _{2}} + \frac{F _{6}}{F _{3}} + \dots + \frac{F _{24}}{F _{12}}$ ?

A.

838

B.

839

C.

840

D.

841

E.

842