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 Find the sum of the series 313+323+.+503

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a
1409400
b
1309400
c
1509400
d
1609400

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detailed solution

Correct option is A

S=13+23+....+503−13+23+...+303=50×5122−30×3122=14(50×51−30×31)(50×51+30×31)=1409400


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Let m be a positive integer, then S=k=1mk1k+1k+1+1k+2++1m is equal to :


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