SAT Math Practice Question #27335 - SATify | SATify

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SAT Math Practice Question #27335 - SATify | SATify

#27335

algebra

series

Telescoping Series

hard

150 sec

The geometric series $a + a r + a r^{2} + \dots$ has a sum of $10$ , and the terms involving odd powers of $r$ have a sum of $4$ . What is $a + r$ ?

A.

$4$

B.

$\frac{11}{3}$

C.

$\frac{13}{3}$

D.

$\frac{7}{2}$

E.

$\frac{9}{2}$