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Let r be the common ratio of the GP a1,a...

Let `r` be the common ratio of the GP `a_1,a_2,a_3,....,a_n`. Show that `1/(a_1^m+a_2^m)+1/(a_2^m+a_3^m)+....+1/(a_(n-1)^m+a_n^m)=(1-r^((1-n)m))/(a_1^m(r^m-r^-m))`.

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