Answer with explanation:
The given geometric series having first term =12 , and common ratio is equal to Half can be written as
[tex]=12 +12 \times \frac{1}{2}+12 \times [\frac{1}{2}]^2+12 \times [\frac{1}{2}]^3+12 \times [\frac{1}{2}]^4+12 \times [\frac{1}{2}]^5+........\\\\\text{Explicit Formula}=12 \times [\frac{1}{2}]^{n-1}[/tex]
Using the general formula
[tex]=ar^{n-1}\\\\r=\frac{1}{2}[/tex]
