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Question

If sum of first n terms of an AP (having positive terms) is given by Sn=(1+2Tn)(1Tn), where Tn is the nth terms of the series, and T22=ab4(a,b ϵN). Then (a+b) is

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Solution

T1=a,T2=a+dSn=(1+2Tn)(1Tn)S1=T1=(1+2T1)(1T1)T1=1+T12T21T1=12S2=T2+T1=(1+2T2)(1T2)T2+T1=1+T22T222T22=1T1T22=2122T22=424=ab4a+b=4+2=6

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