Question

192, 144, 108,….

Find the recursive and explicit formula

Answer 1

Explicit:
`a_n = 192 * (3/4)^(n-1)`

Recursive:
`a_n = a_(n-1) * (3/4)`

Explanation:

Common Ratio ( r ): 144/192 = 3/4 (0.75)

Geometric Explicit:

`a_n = a_1 * r^(n-1)`

`a_n = 192 * (3/4)^(n-1)`

Geometric Recursive:

`a_n = a_(n-1) * r`

`a_n = a_(n-1) * (3/4)`

Hopefully this helped!