What is the sum of even numbers from 3 to 26? Here we will show you step-by-step how to calculate the sum of even numbers from 3 to 26.
Step 1) We start by finding the first (F) and last (L) even numbers from 3 to 26. It is easy to do that by simply looking at the numbers. The first even number is 4, and the last even number is 26.
F = 4
L = 26
Step 2) Next, we calculate the total even numbers (T) there are from 3 to 26, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (26 - 4 + 2) ÷ 2
T = 24 ÷ 2
T = 12
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 3 to 26, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (12 ÷ 2) × (2 × 4 + (2 × (12 - 1))
Sum = 6 × (8 + 22)
Sum = 6 × 30
Sum = 180
Sum of even numbers from 3 to 26 = 180
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.