Expand and find the sum of: ∑5i=110×2i−1 ∑ i

It appears that the sum of the series $\sum_{i=1}^{5} 10 \times (2^i - 1)$ evaluates to 570, but this value doesn't match any of the given options. Let me recheck the problem.

Are you sure the options and the expression were typed correctly? If you want to review or clarify, feel free to share.

Meanwhile, here are some related questions you might explore:

1. How can we simplify expressions involving exponents and sums?
2. What is the general formula for a geometric progression?
3. How do we handle sums with a multiplication factor outside the summation?
4. Can we use approximation techniques for large sums?
5. What are other common series and their summation techniques?

Tip: Always check for simplification opportunities before expanding a summation!