What is the sum of even numbers from 50 to 125? Here we will show you step-by-step how to calculate the sum of even numbers from 50 to 125.
Step 1) We start by finding the first (F) and last (L) even numbers from 50 to 125. It is easy to do that by simply looking at the numbers. The first even number is 50, and the last even number is 124.
F = 50
L = 124
Step 2) Next, we calculate the total even numbers (T) there are from 50 to 125, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (124 - 50 + 2) ÷ 2
T = 76 ÷ 2
T = 38
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 50 to 125, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (38 ÷ 2) × (2 × 50 + (2 × (38 - 1))
Sum = 19 × (100 + 74)
Sum = 19 × 174
Sum = 3306
Sum of even numbers from 50 to 125 = 3306
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.