What is the sum of even numbers from 45 to 142? Here we will show you step-by-step how to calculate the sum of even numbers from 45 to 142.
Step 1) We start by finding the first (F) and last (L) even numbers from 45 to 142. It is easy to do that by simply looking at the numbers. The first even number is 46, and the last even number is 142.
F = 46
L = 142
Step 2) Next, we calculate the total even numbers (T) there are from 45 to 142, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (142 - 46 + 2) ÷ 2
T = 98 ÷ 2
T = 49
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 142, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (49 ÷ 2) × (2 × 46 + (2 × (49 - 1))
Sum = 24.5 × (92 + 96)
Sum = 24.5 × 188
Sum = 4606
Sum of even numbers from 45 to 142 = 4606
Sum of Even Numbers Calculator
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