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The sum 1+3+7+15+31+...to100 terms is a....

The sum `1+3+7+15+31+...to100` terms is a. `2^(100)-102 ` b. `2^(99)-101` c. `2^(101)-102` d. none of these

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The correct Answer is:
`2^(n+1)-n-2`
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