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Question

2 + `2^2` + `2^3` +...........+ `2^9`  = ?


Options:
A .  2044
B .  1022
C .  1056
D .  none of these
Answer: Option B

This is a G.P. in which  a = 2, r= `2^2/2` = 2 and  n = 9.

`s_n` = `[a(r^n -1)]/[(r-1)]` = `[2 xx (2^9 - 1)]/[(2 - 1)]` = 2 x (512 - 1) = 2 x 511= 1022




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