Question

write the first 5 terms for the series. evaluate the sum, given that x1=-2,x2=-1,x3=0,x4=1,x5=2

Answer 1

$\begin{gathered} T=9x+4 \\ T_1=9(2)+4 \\ T_1=18+4 \\ T_1=22 \\ T_2=9(1)+4 \\ T_2=9+4 \\ T_2=13 \end{gathered}$$\begin{gathered} T_3=9(0)+4 \\ T_3=4 \\ T_4=9(1)+4 \\ T_4=9+4 \\ T_4=13 \\ T_5=9(2)+4 \\ T_5=18+4 \\ T_5=22 \end{gathered}$$\begin{gathered} \text{Sum = 22+13+4+13+22} \\ =64 \end{gathered}$