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Question

The maximum sum of the series 20+1913+1823+18+ is

A
300
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B
310
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C
31123
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D
33323
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Solution

The correct option is B 310
The given series is arthmetic whose first term = 20, ;and ;common difference =23
As the common difference is negative the terms will become negative after some stage. So the sum is maximum when all positive terms are added. Now, for the positive terms
xn020+(n1)×230602(n1)0n31.
The first 31 terms are non-negative
Maximum sum =s31=312[2×20+(311)×23]=310

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