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Question

If the sum of 1+2+22+................+2n1 is 255. find the value of n.


Solution

GP:1+2+22+................+2n1First term,a=1Common ratio,r=222=2Given, Sum = 255Sum of GP=a(rn1)r1255=1(2n1)21255=2n12n=2562n=28n=8


Mathematics
Concise Mathematics
Standard X

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