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If `a_1,a_2,a_3, ,a_n` are an A.P. of non-zero terms, prove that `1/(a_1+a_2)+1/(a_1+a_3)++1/(a_(n-1)+a_n)=(n-1)/(a_1+a_n)dot`

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If `a_1,a_2,a_3, ,a_n` are an A.P. of non-zero terms, prove that `1/(a_1+a_2)+1/(a_1+a_3)++1/(a_(n-1)+a_n)=(n-1)/(a_1+a_n)dot`
A. `(a_(1).a_(n))/(2)`
B. `(a_(1).a_(n))/(n)`
C. `(n-1)/(a_(1).a_(n))`
D. `(n)/(a_(1).a_(n))`
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Correct Answer - C
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