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Question

The sum of the series a-(a+d)+(a+2d)-(a-3d)+....upto (2n+1) terms is


A

-nd

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B

a+2nd

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C

a+nd

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D

2nd

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Solution

The correct option is C

a+nd


[a-(a+d)]+[(a+2d)-(a+3d)]+...[(a+2nd)]
=-nd+a+2nd
=a+nd


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