What is the sum of even numbers from 10 to 31? Here we will show you step-by-step how to calculate the sum of even numbers from 10 to 31.
Step 1) We start by finding the first (F) and last (L) even numbers from 10 to 31. It is easy to do that by simply looking at the numbers. The first even number is 10, and the last even number is 30.
F = 10
L = 30
Step 2) Next, we calculate the total even numbers (T) there are from 10 to 31, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (30 - 10 + 2) ÷ 2
T = 22 ÷ 2
T = 11
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 10 to 31, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (11 ÷ 2) × (2 × 10 + (2 × (11 - 1))
Sum = 5.5 × (20 + 20)
Sum = 5.5 × 40
Sum = 220
Sum of even numbers from 10 to 31 = 220
Sum of Even Numbers Calculator
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