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Is there a shortcut to calculate (1+x)^n, where n is greater than or equal 4, apart from binomial expansion? It seems calculating using binomial expansion takes enough time that cannot be accommodated under GMAT constraints. So far, I have seen the use of such terms in calculation of compound interest, though of course they are not absolutely necessary. But it's always useful to be armed when going to war, ain't it?
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If you do some practice, upto 10 should not be any prob. But GMAT questions wont ask this. Everything is solvable within 2 mins.

I guess I should memorize the coefficients just in case. Thank you.
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Kudos is the currency of appreciation.

You can have anything you want if you want it badly enough. You can be anything you want to be and do anything you set out to accomplish, if you hold to that desire with the singleness of purpose. ~William Adams

Many of life's failures are people who did not realize how close to success they were when they gave up. ~Thomas A. Edison

Wir müssen wissen, Wir werden wissen. (We must know, we will know.) ~Hilbert

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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There is no need to learn the binomial expansion of (1+x)^n as far as the GMAT is concerned. You will not be tested on this concept. If they do test this concept, which so far they have not, they will give you the expression for the binomial expansion. If however, you do see a term such as (1+x)^18, then they are expecting you to manipulate the expressions without resorting to binomial expansion.

For example, on the GMAT they could ask the following question:

Given (1+x)^18=27, what is the value of (1+x)^12 ?

Take cube root of the equation (1+x)^18=27, which yields (1+x)^6=3, and then square this to yield (1=x)^12=9.

Such a question is fair game on the GMAT, in fact a similar idea has been tested on the exam.

Hello all, I agree that the GMAT will not expect folks to calculate the binomial expansions of high powers, but I still would recommend memorizing the basics of Pascal's triangle, because the numbers in Pascal's Triangle, the so-called "Binomial coefficients", are identical to the nCr numbers used in combinations. See: http://magoosh.com/gmat/2012/gmat-math- ... binations/ Mike
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Mike McGarry Magoosh Test Prep

gmatclubot

Re: Binomial expansion (1+x)^n
[#permalink]
04 Dec 2013, 17:52

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