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