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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
318

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detailed solution

Correct option is A

nth term of the series =20+(n-1)(-2/3)For the sum to be maximum, we must have nth term greater then or equal to 0.⇒20+(n−1)(−2/3)≥0⇒n≤31∴ the sum of the 31 terms is maximum =312(40+30−2/3)=310.


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