What is the sum of even numbers from 45 to 150? Here we will show you step-by-step how to calculate the sum of even numbers from 45 to 150.
Step 1) We start by finding the first (F) and last (L) even numbers from 45 to 150. It is easy to do that by simply looking at the numbers. The first even number is 46, and the last even number is 150.
F = 46
L = 150
Step 2) Next, we calculate the total even numbers (T) there are from 45 to 150, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (150 - 46 + 2) ÷ 2
T = 106 ÷ 2
T = 53
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 45 to 150, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (53 ÷ 2) × (2 × 46 + (2 × (53 - 1))
Sum = 26.5 × (92 + 104)
Sum = 26.5 × 196
Sum = 5194
Sum of even numbers from 45 to 150 = 5194
Sum of Even Numbers Calculator
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