SAT Math Practice Question #27336 - SATify | SATify

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SAT Math Practice Question #27336 - SATify | SATify

#27336

algebra

series

Telescoping Series

hard

150 sec

The geometric series $a + a r + a r^{2} + \dots$ has a sum of $12$ , and the terms involving even powers of $r$ (including the first term) have a sum of $8$ . What is $a + r$ ?

A.

$\frac{11}{2}$

B.

$\frac{13}{2}$

C.

$7$

D.

$\frac{15}{2}$

E.

$8$