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Question

The sum of the series
1+23(18)+2×53×6(18)2+2×5×83×6×9(18)3+.... is

A
4349
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B
3494
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C
4381
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D
3814
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Solution

The correct option is A 4349
Consider this series third term as
(231)×(232)×(233)3×2×1(18)3

(n1)×(n2)×(n3)3×2×1(x)3
Hence this term seems like the third term in the expansion of (1x)n

So,
here x=18 and 23 plays the role of n here

Hence (118)23 must be the answer

Therefore Answer is 4349

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