The expression in the image appears to be part of a summation, but focusing on the visible part, we have:

$\frac{(-2)^{n+1}}{5^n}$

Here is the breakdown:

1. The numerator is $(-2)^{n+1}$, which means that $-2$ is raised to the power of $n+1$.
2. The denominator is $5^n$, meaning 5 is raised to the power of $n$.

If this is part of a summation, it's likely something like:

$\sum_{n=a}^{b} \frac{(-2)^{n+1}}{5^n}$

Would you like me to help solve this summation or explain a specific part in more detail?

Here are five possible questions related to this expression:

1. How do powers of negative numbers affect the result when raised to odd and even powers?
2. How can this expression be simplified when summing over a range of $n$?
3. What are some common strategies for solving series involving both exponentials and fractions?
4. How does the ratio $\frac{-2}{5}$ influence the convergence of this series for large $n$?
5. What types of problems in calculus or physics might involve summations like this?

Tip: When working with summations, always check if the series converges, especially when involving powers of negative numbers and fractions.