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If a(1), a(2), . . . , a(n) is a sequenc...

If `a_(1), a_(2), . . . , a_(n)` is a sequence of non-zero number which are in A.P., show that
`(1)/(a_(1)a_(n))+(1)/(a_(2)a_(n-1))+. . . + (1)/(a_(n)a_(1))= (2)/(a_(1) + a_(n)) [(1)/(a_(1))+(1)/(a_(2))+. . . +(1)/(a_(n))]`

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