Question 58 – 1 Pure Mathematics - AQA Maths Questions

A sequence $x_1, x_2, x_3, \dots\,$ is defined by

\begin{aligned}x_1 &= p \\x_n &= 3x_{n-1} + 2, \quad n \geq 2\end{aligned}

Find an expression for $x_2\,$ in terms of $p$ .

Show that $x_3 = 9p + 8$ .

Find $∑r=14xr\sum_{r=1}^4 x_r$ in terms of $p$ .

A sequence $x_1, x_2, x_3, \dots\,$ is defined by

\begin{aligned}x_1 &= p \\x_n &= 3x_{n-1} + 2, \quad n \geq 2\end{aligned}

Find an expression for $x_2\,$ in terms of $p$ .

Show that $x_3 = 9p + 8$ .

Find $∑r=14xr\sum_{r=1}^4 x_r$ in terms of $p$ .

1 Pure Mathematics