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Determine whether the sum to infinity of the following G.P.s exist, if exists find them.1/2, 1/4, 1/8, 1/16,..... |
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Answer» 1/2, 1/4, 1/8, 1/16,.... Here, a = 1/2, r = \(\frac{1/4}{1/2}=1/2, |r|<1\) \(\therefore\) Sum to infinity exists. \(\therefore\) Sum to infinity = \(\frac{a}{1-r}\) = \(\frac{1/2}{1-1/2}=1\) |
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