Question

Find the 10th term

3,15,75,375

Answer 1

5859375

Explanation:

These are the terms of a geometric sequence with n th term

`a_(n)` =
`a_(1)`
`r^(n-1)`

where r is the common ratio and
`a_(1)` the first term

here r =
`(375)/(75)` =
`(75)/(15)` =
`(15)/(3)` = 5 and
`a_(1)` = 3, hence

`a_(10)` = 3 ×
`(5)^(9)` = 5859375