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Question

2 + 22 + 23 + ... + 29 = ?


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

This is a G.P. in which a = 2, r = 22 = 2 and n = 9. 2

 2 + 22 + 23 + ... + 29 = ?  Sn = a(rn - 1) = 2 x (29 - 1) = 2 x (512 - 1)   = 2 x 511   = 1022. (r - 1) (2 - 1)



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