If there are (2n+1) terms in an arithmetic series then prove that the ratio of the sum f odd terms to the sum of even terms is(n+1):n

Answers (1)

Since there are 2n+1 terms and there will be n+1 odd terms and n even terms.

Let us consider the odd terms and even terms to be two different series.

These series will have common difference 2d, where d is the common difference of original series.

Let a be the first term.

Sum of odd term series = 

Sum of even term series = 

The ratio = 

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