Question

Find the indicated nth term of the geometric sequence:
7th term

Answer 1

$$
\color{blue}{n^{th} = \cfrac{-3}{(-2)^{n-1}}}\\
a_5 = \cfrac{-3}{(-2)^{5-1}} \implies \cfrac{-3}{(-2)^{4}} =\cfrac{-3}{16}\\
a_10 = \cfrac{-3}{(-2)^{10-1}} \implies \cfrac{-3}{(-2)^{9}}
= \cfrac{-3}{-512} = \cfrac{3}{512}
$$