What is the sum of even numbers from 30 to 154? Here we will show you step-by-step how to calculate the sum of even numbers from 30 to 154.
Step 1) We start by finding the first (F) and last (L) even numbers from 30 to 154. It is easy to do that by simply looking at the numbers. The first even number is 30, and the last even number is 154.
F = 30
L = 154
Step 2) Next, we calculate the total even numbers (T) there are from 30 to 154, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (154 - 30 + 2) ÷ 2
T = 126 ÷ 2
T = 63
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 154, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (63 ÷ 2) × (2 × 30 + (2 × (63 - 1))
Sum = 31.5 × (60 + 124)
Sum = 31.5 × 184
Sum = 5796
Sum of even numbers from 30 to 154 = 5796
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.