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Question

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


A

310

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B

300

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C

320

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D

none of these

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Solution

The correct option is A

310


nth term of the series is 20+(n-1) (-2/3).
For the sum to be maximum,
nth term 0
20+(n1)(23)0

n31
Thus, the sum of 31 terms is maximum and is

312[40+30×(23)]=310


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