Mathematics Past Questions and Answers

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

What is the common ratio of the G.P. \((\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + ... \)?

A binary operation * is defined by x * y = x^y. If x * 2 = 12 - x, find the possible values of x

Find y, if \(\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end{pmatrix} = \begin{pmatrix}7 \\-11\end{pmatrix}\)

If \(\begin{vmatrix}-x & 12 \\-1 & 4 \end{vmatrix} = - 12\), find x.