# How do you find the indicated term for the geometric sequence a_3=32, r=-0.5, n=6?

Jul 20, 2017

${a}_{6} = - 4$

#### Explanation:

$\text{the nth term of a geometric sequence is}$

•color(white)(x)a_n=ar^(n-1)

$\text{we need to find a the first term}$

$\Rightarrow {a}_{3} = a {\left(- 0.5\right)}^{2} = 32$

$\Rightarrow a = \frac{32}{- 0.5} ^ 2 = 128$

$\Rightarrow {a}_{6} = 128 \times {\left(- 0.5\right)}^{5} = - 4$