An infinite geometric progression a 1 , a 2 , a 3 ,... has the property that a n = 3(a n+1 + a n+2 +....) for every n ≥ 1. If the sum a 1 + a 2 + a 3 +...... = 32, then a 5 is

← CAT 2017 Slot 2 QA

CAT 2017 Slot 2 QA · Question 33

An infinite geometric progression a₁, a₂, a₃,... has the property that a_n = 3(a_n+1 + a_n+2 +....) for every n ≥ 1. If the sum a₁ + a₂ + a₃ +...... = 32, then a₅ is

A.
$\frac{1}{32}$
B.
$\frac{2}{32}$
C.
$\frac{3}{32}$
D.
$\frac{4}{32}$

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