What is the sum of even numbers from 1 to 508? Here we will show you step-by-step how to calculate the sum of even numbers from 1 to 508.
Step 1) We start by finding the first (F) and last (L) even numbers from 1 to 508. It is easy to do that by simply looking at the numbers. The first even number is 2, and the last even number is 508.
F = 2
L = 508
Step 2) Next, we calculate the total even numbers (T) there are from 1 to 508, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (508 - 2 + 2) ÷ 2
T = 508 ÷ 2
T = 254
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 508, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (254 ÷ 2) × (2 × 2 + (2 × (254 - 1))
Sum = 127 × (4 + 506)
Sum = 127 × 510
Sum = 64770
Sum of even numbers from 1 to 508 = 64770
Sum of Even Numbers Calculator
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