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

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a
310
b
300
c
320
d
330

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detailed solution

Correct option is A

nth term of the series is 20+(n−1)(−2/3) For the sum to be maximum nth term ≥0⇒20+(n−1)−23≥0Thus, the sum of 31 terms is maximum and is  31240+30×−23=310


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