sum _(i=1)^100i^2=1^2+2^2+3^2+ldots +100^2 infty 383350 338530 338350 333850

## Step 1: Identify the type of series### The given series is a finite series because the upper limit of the summation is a finite number (100).## Step 2: Recognize the sum of squares formula### The series represents the sum of squares of the first 100 natural numbers. The formula for the sum of squares of the first natural numbers is given by: .## Step 3: Apply the formula### Substitute into the formula: .## Step 4: Calculate the sum### .