Question

What is the formula for the nth term of the sequence 54 18 6?

Answer 1

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio :
`r = (a_(2))/(a_(1))`

=
`(18)/(54)`

=
`(1)/(3)`

The formula for general term of a geometric sequence is,

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

Where, first term: a_{1} =54.

Next step is to plug in the value of a1 and r in the above formula to get the formula of the given sequence. So,

`a_(n) =54*((1)/(3))^(n-1)`

Hope that helps you!