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If an infinite G.P. has 2nd term x and its sum is 4, then prove that xin(-8,1]-{0} |
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Answer» Solution :Let the common ratio of G.P be r. Since SECOND TERM is X,first terms is x/r Now, sum of infinite terms of G.P.=4 `RARR(x/r)/(1-r)=4` `thereforex=4(r-r^(2))` For `rin(-1,-1)-{0}`, we have `r-r^(2)=1/4-(r-1/2)^(2)in(-2,1/4]-{0}` `rArrxin(-8,1]-{0}` |
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