Sum of even numbers from 50 to 118
What is the sum of even numbers from 50 to 118? Here we will show you step-by-step how to calculate the sum of even numbers from 50 to 118.
Step 1) We start by finding the first (F) and last (L) even numbers from 50 to 118. It is easy to do that by simply looking at the numbers. The first even number is 50, and the last even number is 118.
F = 50
L = 118
Step 2) Next, we calculate the total even numbers (T) there are from 50 to 118, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (118 - 50 + 2) ÷ 2
T = 70 ÷ 2
T = 35
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 118, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (35 ÷ 2) × (2 × 50 + (2 × (35 - 1))
Sum = 17.5 × (100 + 68)
Sum = 17.5 × 168
Sum = 2940
Sum of even numbers from 50 to 118 = 2940
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.