What is the sum of even numbers from 7 to 31? Here we will show you step-by-step how to calculate the sum of even numbers from 7 to 31.
Step 1) We start by finding the first (F) and last (L) even numbers from 7 to 31. It is easy to do that by simply looking at the numbers. The first even number is 8, and the last even number is 30.
F = 8
L = 30
Step 2) Next, we calculate the total even numbers (T) there are from 7 to 31, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (30 - 8 + 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 7 to 31, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (12 ÷ 2) × (2 × 8 + (2 × (12 - 1))
Sum = 6 × (16 + 22)
Sum = 6 × 38
Sum = 228
Sum of even numbers from 7 to 31 = 228
Sum of Even Numbers Calculator
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