Binomial expansion questions With Correct Accurate Answers Success Guaranteed.
5 views 0 purchase
Course
BINOMIAL
Institution
BINOMIAL
1a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of (2 + kx)⁷ where k is a constant - correct answer binomial expansion worked examples 1
1b) given that the coefficient of x² is 6 times the coefficient of x, find the value of...
1a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of (2 + kx)⁷ where k is a
constant - correct answer binomial expansion worked examples 1
1b) given that the coefficient of x² is 6 times the coefficient of x, find the value of k, where k is a non-
zero constant. - correct answer binomial expansion worked examples 1
2a) find the first 4 terms, in ascending powers of x, of the binomial expansion of (1-2x)⁵ - correct answer
binomial expansion worked examples 1
2b) if x is small, so that x² and higher powers can be ignored, show that: (1+x)(1-2x)⁵ ≈ 1-9x - correct
answer binomial expansion worked examples 1
3) the first three terms of (1+px)⁹ are 1, 36x and qx², where p and q are constants. Find the value of p
and q - correct answer binomial expansion worked examples 1
4) in the expansion of (1 + px)¹², the x coefficient is -q and the x² coefficient is 11q. p is a non zero
constant
find the value of p and q - correct answer binomial expansion worked examples 1
1a) find the first four terms in the binomial expansion of 1/(2+3x)² and state the range of values of x for
which each of these expansions is valid. - correct answer binomial expansion
worked examples 2
2a) in the binomial expansion of (2k + x)ⁿ, where k is a constant and n is a positive integer, the x² and x³
coefficients are equal.
Prove that n = 6k +2 - correct answer binomial expansion worked examples 2
2b) given that k = 2/3, expand (2k + x)ⁿ in ascending powers of x up to and including the term x³ - correct
answer binomial expansion worked examples 2
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller RealGrades. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $12.99. You're not tied to anything after your purchase.
