What is the sum of even numbers from 2 to 16? Here we will show you step-by-step how to calculate the sum of even numbers from 2 to 16.
Step 1) We start by finding the first (F) and last (L) even numbers from 2 to 16. It is easy to do that by simply looking at the numbers. The first even number is 2, and the last even number is 16.
F = 2
L = 16
Step 2) Next, we calculate the total even numbers (T) there are from 2 to 16, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (16 - 2 + 2) ÷ 2
T = 16 ÷ 2
T = 8
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 2 to 16, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (8 ÷ 2) × (2 × 2 + (2 × (8 - 1))
Sum = 4 × (4 + 14)
Sum = 4 × 18
Sum = 72
Sum of even numbers from 2 to 16 = 72
Sum of Even Numbers Calculator
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