What is the sum of even numbers from 100 to 131? Here we will show you step-by-step how to calculate the sum of even numbers from 100 to 131.
Step 1) We start by finding the first (F) and last (L) even numbers from 100 to 131. It is easy to do that by simply looking at the numbers. The first even number is 100, and the last even number is 130.
F = 100
L = 130
Step 2) Next, we calculate the total even numbers (T) there are from 100 to 131, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (130 - 100 + 2) ÷ 2
T = 32 ÷ 2
T = 16
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 100 to 131, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (16 ÷ 2) × (2 × 100 + (2 × (16 - 1))
Sum = 8 × (200 + 30)
Sum = 8 × 230
Sum = 1840
Sum of even numbers from 100 to 131 = 1840
Sum of Even Numbers Calculator
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