What is the sum of even numbers from 3 to 17? Here we will show you step-by-step how to calculate the sum of even numbers from 3 to 17.
Step 1) We start by finding the first (F) and last (L) even numbers from 3 to 17. It is easy to do that by simply looking at the numbers. The first even number is 4, and the last even number is 16.
F = 4
L = 16
Step 2) Next, we calculate the total even numbers (T) there are from 3 to 17, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (16 - 4 + 2) ÷ 2
T = 14 ÷ 2
T = 7
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 3 to 17, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (7 ÷ 2) × (2 × 4 + (2 × (7 - 1))
Sum = 3.5 × (8 + 12)
Sum = 3.5 × 20
Sum = 70
Sum of even numbers from 3 to 17 = 70
Sum of Even Numbers Calculator
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