Question

Find the 10th term of the geometric sequence 3,15,75,…

Answer 1

5859375

Explanation:

We can write the geometric sequence as
`a_n=3(5)^(n-1)` and use that to find the 10th term:

`a_n=3(5)^(n-1)`

`a_(10)=3(5)^(10-1)`

`a_(10)=3(5)^(9)`

`a_(10)=3(1953125)`

`a_(10)=5859375`

Therefore, the 10th term of the geometric sequence is 5859375