Question

Enter the explicit rule for the geometric sequence. 14,12,1,2,4,…

Answer 1

an =
`2^(n-3)`

Explanation:

Explicit rule for Geometric series is given by

`a_n = ar^(n-1)`

Here a is the first term and r is the common ratio.

in our question first term a =
`(1)/(4)`

common ratio r = 2

therefore explicit rule an =
`(1)/(4) 2^(n-1)`

or

an=
`2^(n-3)`