A sequence x1,x2,x3,… x_1, x_2, x_3, \dots\,x1,x2,x3,… is defined by
x1=pxn=3xn−1+2,n≥2 \begin{aligned}x_1 &= p \\x_n &= 3x_{n-1} + 2, \quad n \geq 2\end{aligned} x1xn=p=3xn−1+2,n≥2Find an expression for x2 x_2\,x2 in terms of ppp.
Show that x3=9p+8x_3 = 9p + 8x3=9p+8.
Find ∑r=14xr\sum_{r=1}^4 x_r∑r=14xr in terms of ppp.
200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.