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f(x) = (1 + =)",
k, n EN,
Given that the coefficient of x³ is twice the coefficient of x² in the binomial expansion of f(x),
(a) prove that n = 6k + 2.
Given also that the coefficients of x4 and x5 are equal and non-zero,
(b) form another equation in n and k and hence show that k = 2 and n = 14.
Using these values of k and n,
(c) expand f(x) in ascending powers of x, up to and including the term in x5.
Give each coefficient as an exact fraction in its lowest terms
n>2


Fx 1 K N EN Given That The Coefficient Of X Is Twice The Coefficient Of X In The Binomial Expansion Of Fx A Prove That N 6k 2 Given Also That The Coefficients O class=

Sagot :

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