For the binomial expansion of (2x + 3)^{20}, show that the ratio of the term in x^6 to the term in x^7 is \frac{3}{4x}.
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Practise this question(1 + 2x)^{10}.[4 marks](1.01)^{10}.[3 marks]\frac{n!}{(n - r)!r!} + \frac{n!}{(n - r + 1)!(r - 1)!} = \frac{(n + 1)!}{(n - r + 1)!r!}.[6 marks]f(x) = -x^3 + 3x + 4 has a root in the interval [1, 3].[3 marks]x_1 = 2.1 as a first approximation of the root in the interval [1, 3], use the Newton–Raphson method to obtain a second approximation, x_2, in…[4 marks]More practice: the rest of this paper · more The Binomial Theorem questions · all CAPE Pure Mathematics Unit 2 past papers