Question

Determine 4th term in the geometric sequence whose first is -2 and whose common ratios is -5

Answer 1

`\bf n^(th)\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^(n-1)\qquad \begin{cases} n=n^(th)\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ n=4\\ a_1=-2\\ r=-5 \end{cases}\implies a_4=-2(-5)^(4-1)`