SAT Math Practice Question #28740 - SATify | SATify

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SAT Math Practice Question #28740 - SATify | SATify

#28740

algebra

series

Telescoping Series

medium

90 sec

The sum of an infinite geometric series is a positive number $S$ , and the third term in the series is $1$ . What is the smallest possible value of $S$ ?

A.

$5$

B.

$6$

C.

$\frac{27}{4}$

D.

$\frac{25}{4}$

E.

$7$