If S1 is the sum of an arithmetic progression of 'n' odd number of terms and S2 the sum of the terms of the series in odd places, then =

S1 = (2a + (n–1) d)


Out of these odd numbers of terms, there are terms in odd places


S2 = (2a + ( –1) d)


Common difference of two odd places is 2d


S2 = (2a + (n–1) d)


Now,


=


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