Question

Which formula can be used to describe the sequence below?
29, 9, 3, 1, 1/3,.....

Answer 1

Answer is
`3^(4-n)`

Explanation:

It is 29 in place of 27 . and Its a geometric series with first term 27 and common ratio
`(1)/(3)`

and general formula for given sequence is given by
`a (r)^(n-1)`

so plugging the value of a and r ,we get

`27 ([tex](1)/(3)`)^{n-1}[/tex]

`3^3((1)/(3) )}^(n-1)`

`3^(4-n)`