What is the sum of even numbers from 100 to 172? Here we will show you step-by-step how to calculate the sum of even numbers from 100 to 172.
Step 1) We start by finding the first (F) and last (L) even numbers from 100 to 172. It is easy to do that by simply looking at the numbers. The first even number is 100, and the last even number is 172.
F = 100
L = 172
Step 2) Next, we calculate the total even numbers (T) there are from 100 to 172, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (172 - 100 + 2) ÷ 2
T = 74 ÷ 2
T = 37
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 100 to 172, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (37 ÷ 2) × (2 × 100 + (2 × (37 - 1))
Sum = 18.5 × (200 + 72)
Sum = 18.5 × 272
Sum = 5032
Sum of even numbers from 100 to 172 = 5032
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.