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GMAT question - 2 + 2 + 2 to the power of... - Review

Type: Problem Solving

Difficulty:

$mathematical expression$

In this question we can establish a pattern for simplifying the question.

You should notice that

$mathematical expression$

Therefore

$mathematical expression$

But we can also say that

$mathematical expression$

Or more generally

$mathematical expression$

We can repeatedly simplify the expression in the question with this rule

$mathematical expression$

Which means the correct answer is B.

Comments (3):

Hey Joel:
First of all, thank you for this great learning tool! Just wanted to let you know that I ran into a similar question on my GMAT last year...and I am not sure if I did it right. It started with a 5,5^2,5^3...5^6 something like this. Will the solution still be the same? Please advise.

ranipatil on 18 Sep 2008 (permalink)
Once you have done sufficient GMAT practice questions you should find that many questions in the real test are similar to questions that you have already practiced.

In this case it may be the case that you could have answered the question you faced with techniques similar to this, however it is not possible to tell having a more precise understanding of what the question was.

Keep practicing!

joel on 18 Sep 2008 (permalink)
The given series is a Geometric Progression with common ratio 2.

So sum of the 11 terms in the given series = 2(2^11 -1)/(2-1) = 2^12 - 2 = 2^11

Sureshbala on 11 Mar 2009 (permalink)

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