A sequence u1,u2,u3,… u_1, u_2, u_3, \dots\,u1,u2,u3,… is defined by
u1=pun=2un−1−3,n≥2 \begin{aligned}u_1 &= p \\u_n &= 2u_{n-1} - 3, \quad n \geq 2\end{aligned} u1un=p=2un−1−3,n≥2Find an expression for u2 u_2\,u2 in terms of ppp.
Show that u3=4p−9u_3 = 4p - 9u3=4p−9.
Find ∑r=14ur\sum_{r=1}^4 u_r∑r=14ur in terms of ppp.
