We need to evaluate the sum $\sum_{i=5}^{20} 10$. This means we are adding the constant 10 a certain number of times, where the index $i$ starts at 5 and ends at 20.

1. Problem Description

We need to evaluate the sum $\sum_{i=5}^{20} 10$. This means we are adding the constant 10 a certain number of times, where the index $i$ starts at 5 and ends at

2

0.

2. Solution Steps

The summation notation $\sum_{i=5}^{20} 10$ means we are summing the constant 10 for each integer value of $i$ from 5 to 20, inclusive.

First, we need to find the number of terms in the summation. The number of terms is $20 - 5 + 1 = 16$.

Since we are summing the constant 10 for each of these 16 terms, the sum is equal to $10 \times 16$.

$10 \times 16 = 160$

3. Final Answer

160