If there are `(2n+1)` terms in A.P., then prove that the ratio of the sum of odd terms and the sum of even terms is `(n+1): n`

Explanation

We have to prove the ratio of sum of odd terms to sum of even terms of an arithmetic series to be `(n+1)/n`


Since there are` 2n+1` terms there will be `n+1`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.


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