Question

What is the value of the fourth term in a geometric sequence for which a,
10 and r=0.57

Answer 1

Fourth term = 1.85193

Explanation:

nth term of Geometric sequence is given as:

`t_n = a {r}^(n - 1) \\ \therefore \: t_4 = 10 * {(0.57)}^(4 - 1) \\ \therefore \: t_4 = 10 * {(0.57)}^(3) \\ \therefore \: t_4 = 10 * 0.185193 \\ \\ \huge \red{ \boxed{\therefore \: t_4 = 1.85193}}`