sum of the series a-(a+d)+(a+2d)-(a+3d)+......to(2n+1) terms is equal to
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We're asked to find the sum of terms of the series,
The n'th term of this series is,
Then (2n + 1)th term is,
and (2n)th term is,
Let us define two series,
so that
The series is an AP of first term a, common difference 2d and last term (a + 2nd).
No. of terms in
Then sum of terms of
The series is an AP of first term (a+d), common difference 2d and last term (a + (2n - 1)d).
No. of terms in
Then sum of terms of
Then our series is,
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