Question Details

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

Options

A

1/32

B

2/32

C

3/32

D

4/32

Show Answer

Correct Answer :

Option C

3/32

Solution :

Correct Option: C

For any n ≥ 1, an = 3 (an+1 + an+2 + ……..)

∴ a1 = 3 (a2 + a3 + ……) or r = 1/4 and

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