What is the sum of even numbers from 18 to 83? Here we will show you step-by-step how to calculate the sum of even numbers from 18 to 83.
Step 1) We start by finding the first (F) and last (L) even numbers from 18 to 83. It is easy to do that by simply looking at the numbers. The first even number is 18, and the last even number is 82.
F = 18
L = 82
Step 2) Next, we calculate the total even numbers (T) there are from 18 to 83, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (82 - 18 + 2) ÷ 2
T = 66 ÷ 2
T = 33
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 18 to 83, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (33 ÷ 2) × (2 × 18 + (2 × (33 - 1))
Sum = 16.5 × (36 + 64)
Sum = 16.5 × 100
Sum = 1650
Sum of even numbers from 18 to 83 = 1650
Sum of Even Numbers Calculator
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