Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Binomial expansion (1+x)^n [#permalink]
05 Nov 2012, 06:33

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? _________________

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

If you do some practice, upto 10 should not be any prob. But GMAT questions wont ask this. Everything is solvable within 2 mins. _________________

"Appreciation is a wonderful thing. It makes what is excellent in others belong to us as well." ― Voltaire Press Kudos, if I have helped. Thanks! shit-happens-my-journey-to-172475.html#p1372807

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. _________________

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

Re: Binomial expansion (1+x)^n [#permalink]
21 Nov 2013, 18:06

Hello from the GMAT Club BumpBot!

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: Binomial expansion (1+x)^n [#permalink]
21 Nov 2013, 21:57

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.

Re: Binomial expansion (1+x)^n [#permalink]
04 Dec 2013, 16:52

Expert's post

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 _________________

Mike McGarry Magoosh Test Prep

gmatclubot

Re: Binomial expansion (1+x)^n
[#permalink]
04 Dec 2013, 16:52

Michigan Ross: Center for Social Impact : The Center for Social Impact provides leaders with practical skills and insight to tackle complex social challenges and catalyze a career in...

The Importance of Financial Regulation : Before immersing in the technical details of valuing stocks, bonds, derivatives and companies, I always told my students that the financial system is...