Gprep Exponents

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niraj_a: Legendary Member; Posts: 708; Joined: Sun Jun 01, 2008 4:59 amFollowed by: 1 member; Location: USA; Thanked: 13 times

by niraj_a » Sat Sep 06, 2008 4:17 pm

people,

this might seem like an easy one for most of you but it kinda stumped me. if you could identify the steps you took to get at the answer that would rock.

2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = ?

A) 2^9
B) 2^10
C) 2^16
D) 2^35
E) 2^37

OA is A

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Source: Beat The GMAT — Problem Solving | Sat Sep 06, 2008 4:17 pm

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Sat Sep 06, 2008 6:16 pm

If you can identify the pattern then it becomes simple

2+2 = 2 ^ 2

2^2 + 2^2 (i.e 8) = 2^3 (i.e 8)

2^3 + 2 ^3 = 2 ^ 4

So on.. The answer should be 2 ^ 9. Is that the OA?

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niraj_a: Legendary Member; Posts: 708; Joined: Sun Jun 01, 2008 4:59 amFollowed by: 1 member; Location: USA; Thanked: 13 times

by niraj_a » Sat Sep 06, 2008 6:50 pm

wow, that does make sense, thank you.

how can i spot these kinds of "patterns" in questions?

the OA is in my first post itself, it has been hidden by the spoiler protector.

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karthikgmat: Master | Next Rank: 500 Posts; Posts: 172; Joined: Wed Jul 09, 2008 3:35 amFollowed by: 1 member; Thanked: 3 times; GMAT Score:610

Its Option A

by karthikgmat » Sat Sep 06, 2008 9:53 pm

just add 2+2=2^2
2^2+2^2=2^3
like that.... 2^8+2^8= 2^9
some kind of easy thing..

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