What is the sum of even numbers from 12 to 57? Here we will show you step-by-step how to calculate the sum of even numbers from 12 to 57.
Step 1) We start by finding the first (F) and last (L) even numbers from 12 to 57. It is easy to do that by simply looking at the numbers. The first even number is 12, and the last even number is 56.
F = 12
L = 56
Step 2) Next, we calculate the total even numbers (T) there are from 12 to 57, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (56 - 12 + 2) ÷ 2
T = 46 ÷ 2
T = 23
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 57, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (23 ÷ 2) × (2 × 12 + (2 × (23 - 1))
Sum = 11.5 × (24 + 44)
Sum = 11.5 × 68
Sum = 782
Sum of even numbers from 12 to 57 = 782
Sum of Even Numbers Calculator
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