Question

Determine 7th term in the geometric sequence whise first term is 5 and whose ratio is 2 .

Answer 1

$\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ n=7\\ a_1=5\\ r=2 \end{cases}\implies a_7=5\cdot 2^{7-1}$

Answer 2

5, 10, 20, 40, 80, 160 and the Seventh term would be 320