2 + 2 2 + 2 3 + ... + 2 9 = ? Options: A . &nbsp2044 B . &nbsp1022 C . &nbsp1056 D . &nbspNone of these

Answer: Option B This is a G.P. in which a = 2, r = 2 2 = 2 and n = 9. 2 S n = a ( r n - 1) = 2 x (2 9 - 1) = 2 x (512 - 1) = 2 x 511 = 1022. ( r - 1) (2 - 1)

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

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

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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