What is the sum of even numbers from 12 to 115? Here we will show you step-by-step how to calculate the sum of even numbers from 12 to 115.
Step 1) We start by finding the first (F) and last (L) even numbers from 12 to 115. It is easy to do that by simply looking at the numbers. The first even number is 12, and the last even number is 114.
F = 12
L = 114
Step 2) Next, we calculate the total even numbers (T) there are from 12 to 115, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (114 - 12 + 2) ÷ 2
T = 104 ÷ 2
T = 52
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 12 to 115, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (52 ÷ 2) × (2 × 12 + (2 × (52 - 1))
Sum = 26 × (24 + 102)
Sum = 26 × 126
Sum = 3276
Sum of even numbers from 12 to 115 = 3276
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.