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If S(1),S(2), S(3),......, S(p) are the ...

If `S_(1),S_(2), S_(3),......, S_(p)` are the sums of infinite geometric series whose first terms are 1, 2, 3..... p and whose common ratios are `(1)/(2),(1)/(3),.... (1)/(p+1)` respectively, prove that
`S_(1) +S_(2)+S_(3)+.... + S_(p) = (1)/(2) p (p+3)` .

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