Question

Find the sixth term of the

geometric sequence, given the
first term and common ratio.
a =5 and r=3/2
2

Answer 1

`T_6 = 37.96875`

Explanation:

Given

`a =5`

`r = (3)/(2)`

Required

Determine the 6th term

This is calculated as:

`T_n = ar^{n-1`

Where

`n = 6`

Substitute
`n = 6`,
`a =5` and
`r = (3)/(2)`

`T_6 = 5 * ((3)/(2))^{6-1`

`T_6 = 5 * ((3)/(2))^{5`

`T_6 = 5 * ((243)/(32))`

`T_6 = 5 * (243)/(32)`

`T_6 = (5 *243)/(32)`

`T_6 = (1215)/(32)`

`T_6 = 37.96875`