Numbers

2 + 2² + 2³ + ... + 2⁹ = ?

A 2044

B 1022

C 1056

D None of these

ANS:B - 1022

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

S_n =	a(rⁿ - 1)	=	2 x (2⁹ - 1)	= 2 x (512 - 1) = 2 x 511 = 1022.
	(r - 1)		(2 - 1)

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