What is the sum of even numbers from 1 to 75? Here we will show you step-by-step how to calculate the sum of even numbers from 1 to 75.
Step 1) We start by finding the first (F) and last (L) even numbers from 1 to 75. It is easy to do that by simply looking at the numbers. The first even number is 2, and the last even number is 74.
F = 2
L = 74
Step 2) Next, we calculate the total even numbers (T) there are from 1 to 75, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (74 - 2 + 2) ÷ 2
T = 74 ÷ 2
T = 37
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 1 to 75, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (37 ÷ 2) × (2 × 2 + (2 × (37 - 1))
Sum = 18.5 × (4 + 72)
Sum = 18.5 × 76
Sum = 1406
Sum of even numbers from 1 to 75 = 1406
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.