Question

Find the 10th and nth term of each G.P.:5,25,125,.....​

Answer 1

The
`n^(th)` of the sequence

`t_(n) = ar^(n-1)`

The
`10^(th)` of the sequence

`t_(10) = 5(5)^(10-1) = 9,765,625`

Explanation:

Explanation:-

Given that the geometric sequence

5, 25 , 125 ,....

First-term a= 5

Difference
`r = (25)/(5) =5`

The
`n^(th)` of the sequence

`t_(n) = ar^(n-1)`

The
`10^(th)` of the sequence

`t_(10) = 5(5)^(10-1) = 9,765,625`