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$The sum 1 + 3 + 7 + 15 + 31 + \dots to 100 terms is$

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2100−102

299−101

2102−103

2101−102

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Correct option is D

First difference are in G.P.S=21−1+22−1+23−1+….+2100−122100−12−1−100=2101−102

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The sum 1+3+7+15+31+… to 100 terms is

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$The sum 1 + 3 + 7 + 15 + 31 + \dots to 100 terms is$