Question

Directions: Find the specified term of the geometric sequences given the first term and the common ratio.​

Answer 1

Explanation:

As you know

`a_(n) = a_(1) * {r}^(n - 1)`

1.

`3 * {3}^(4) = {3}^(5) \\ 3 * {3}^(6) = {3}^(7) \\ 3 * {3}^(8) = {3}^(9)`

2.

`2 * {2}^(4) = {2}^(5) \\ 2 * {2}^(6) = {2}^(7) \\ 2 * {2}^(8) = {2}^(9)`

3.

`- (1)/(2) * {( - 6)}^(4) = { ( - 1)/(2) } * {6}^(4) \\ - (1)/(2) * {( - 6)}^(6) = { ( - 1)/(2) } * {6}^(6) \\ - ( 1)/(2) * {( - 6)}^(8) = { ( - 1)/(2) } * {6}^(8)`