What is the sum of even numbers from 30 to 176? Here we will show you step-by-step how to calculate the sum of even numbers from 30 to 176.
Step 1) We start by finding the first (F) and last (L) even numbers from 30 to 176. It is easy to do that by simply looking at the numbers. The first even number is 30, and the last even number is 176.
F = 30
L = 176
Step 2) Next, we calculate the total even numbers (T) there are from 30 to 176, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (176 - 30 + 2) ÷ 2
T = 148 ÷ 2
T = 74
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 30 to 176, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (74 ÷ 2) × (2 × 30 + (2 × (74 - 1))
Sum = 37 × (60 + 146)
Sum = 37 × 206
Sum = 7622
Sum of even numbers from 30 to 176 = 7622
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.