Question

Which term of the geometric sequence is 6,561 for 1/27, 1/9, 1/3, 1, …?

Answer 1

Given:

A geometric sequence is given as 1/27,1/9,1/3,1...

Required:

We have to find the which term is 6561 in this sequence

Step-by-step explanation:

Here a means the first term is 1/27 and r means ratio is 3

now we have formula for geometric sequence is

`a_n=ar^(n-1)`

here an is 6561

now just put all vales and find the n

`6561=(1)/(27)3^(n-1)`
`177147=3^(n-1)`
`3^(11)=3^(n-1)`
`n-1=11`

so

`n=12`

Final answer:

6561 is 12th term