Explanation
We are asked to determine if the given series converge or diverge
A series is said to be convergent when it approaches a certain value as the series approaches infinity.
To check, we will have this re-written as
[tex]\sum _{n=0}^{\infty \:}16+24+36+54+\ldots \quad :\quad \sum _{n=0}^{\infty \:}-32\left(1-\left(\frac{3}{2}\right)^n\right)[/tex]Every infinite sum of a non-zero constant diverges
Therefore, the series diverges
