What is the sum of even numbers from 7 to 150? Here we will show you step-by-step how to calculate the sum of even numbers from 7 to 150.
Step 1) We start by finding the first (F) and last (L) even numbers from 7 to 150. It is easy to do that by simply looking at the numbers. The first even number is 8, and the last even number is 150.
F = 8
L = 150
Step 2) Next, we calculate the total even numbers (T) there are from 7 to 150, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (150 - 8 + 2) ÷ 2
T = 144 ÷ 2
T = 72
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 7 to 150, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (72 ÷ 2) × (2 × 8 + (2 × (72 - 1))
Sum = 36 × (16 + 142)
Sum = 36 × 158
Sum = 5688
Sum of even numbers from 7 to 150 = 5688
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.