A sequence t_1,t_2,\dots,t_n,\dots is defined as follows:
\begin{aligned}
& t_1=14 \\
& t_k=24-5 t_{k-1}, \text { for each } k \geq 2 .
\end{aligned}
For every positive integer n,t_n can be expressed as t_n=p\cdot q^n+r, where p,q and r are constants. The value of p+q+r is
Answer Choices
A. -5
B. -3
C. 3
D. 17
E. 31