Q. 5 - Calculus

Question

Use a sentence to describe what the notation $\sum _{k=3}^{87}{k}^2$ means. (Hint: Start with “The sum of....”) 

Step-by-Step Solution

Answer

The sum of squares of 3 to 87.

Step 1. Given Information:

Given sigma notation: $\sum _{k=3}^{87}{k}^2$

Use a sentence we want to describe what the notation means.

Step 2. Solution:

First we write notation in expand form we get

$\sum _{k=3}^{87}{k}^2=3^2+4^2+5^2+.....+{87}^2$

We observe that given notation represents:

The sum of squares of 3 to 87.