If n A.Ms are inserted between two numbers, prove that the sum of the means equidistant from the beginning and the end is constant.

Explanation

Let `a` and `b` be the first and last terms.


The series be `a, A_1, A_2, A_3, …….., A_n, b`.


We know, Mean = `(a + b)/2 `


Mean of `A_1` and `A_n = (A_1 + A_n)/2`


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