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2 + 22 + 23 + ... + 29 =?
2044
1022
1056
None of these
Correct Answer:
1022
Explanation:
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)
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