Question

Find the 11th term of the geometric sequence 7, 35, 175

Answer 1

11th term of the given geometric sequence is
`a_(n) = 7(5^(n-1))`

What is Geometric sequence?

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Given geometric sequence = 7,35,175

Nth term of the geometric sequence
`a_(n)=a_(1) .r^(n-1)`

`a_(1)=7`

`r= (35)/(7) =5`

Nth term of the geometric sequence

`a_(n) = 7(5^(n-1))`

Hence, the Nth term of the given geometric sequence is
`a_(n) = 7(5^(n-1))`