Question

For the following geometric sequence find the explicit formula. {12, -6, 3, ...}

Answer 1

Answer:

$a_n=12 (-0.5)^{n-1}$

Step-by-step explanation:

Given geometric sequence ,

12, -6, 3, ...........

First term, a = 12,

Common ratio,

$r = \frac{-6}{12}=-0.5$

Since, the explicit formula of a Geometric sequence is,

$a_n=ar^{n-1}$

Hence, the explicit formula of the sequence is,

$a_n=12 (-0.5)^{n-1}$

Answer 2

12(-1/2) to the exponent n-1