Q.

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

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a

1409400

b

1309400

c

1509400

d

1609400

answer is A.

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Detailed Solution

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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