Question

192, 144, 108,…. Find the recursive and explicit formula

Answer 1

Answer:

Explicit: $a_n = 192 * (3/4)^{n-1}$

Recursive: $a_n = a_{n-1} * (3/4)$

Step-by-step 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!