In the binomial expansion of (2k + x) n , where k is a constant and n
Question:
In the binomial expansion of (2k + x)n, where k is a constant and n is a positive integer, the coefficient of x2 is equal to the coefficient of x3.
a. Prove that n = 6k + 2.
b. Given also that k = 2/3, expand (2k + x)n in ascending powers of x up to and including the term in x3, giving each coefficient as an exact fraction in its simplest form.
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a To prove that n 6k 2 we need to equate the coefficients of x2 and x3 in the binomial expansion of ...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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