one more.....

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Jennifer ^.^

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Nov 22, 2010, 11:03:46 AM11/22/10
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one more sum sir-----

>>S1, S2, S3……………Sn are the sums of n infinite geometric progressions. The first terms of these progressions are 1, 22-1, 23-1, ….., 2n- 1 and the common ratios are ½, ½2 ,1/23, ……. 1/2n. Calculate the value of S1 + S2 + S3 +……….+ Sn .

the first terms are actually 1, 2 squared -1, 2 cubed -1.......... 2
power n -1......

Arjun Mohan

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Nov 22, 2010, 12:15:18 PM11/22/10
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Try factorizing. This will get reduced to 2 + 2^2 + 2^3 ............. + 2^n
You know the answer now :)
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