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.