Further Mathematics Past Questions and Answers

Find the coefficient of \(x^{4}\) in the expansion of \((1-2x)^{6}\).

Find the 21st term of the Arithmetic Progression (A.P.): -4, -1.5, 1, 3.5,...

If \(log_{y}\frac{1}{8}\) = 3, find the value of y.

A binary operation \(\Delta\) is defined on the set of real numbers, R, by \(a \Delta b = \frac{a+b}{\sqrt{ab}}\), where a\(\neq\) 0, b\(\neq\) 0. Evaluate \(-3 \Delta -1\).

Simplify \(\frac{1}{(1-\sqrt{3})^{2}}\)