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Question

214. 418. 8116. 16132................ is equal to


A

1

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B

2

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C

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D

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Solution

The correct option is B

2


214. 418. 8116. 16132 .........∞

= 214+28+316+........ = 2S, where S is given by

S = 14 + 2 18 + 3 116 +4 132 + ............∞ .........(i)

12 S = 18 + 216 + 332 + 464 + ................∞ ..........(ii)

Subtracting (ii) from (i), we get S = 1.

Hence required product = 21 = 2.


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