What is the sum of even numbers from 12 to 101? Here we will show you step-by-step how to calculate the sum of even numbers from 12 to 101.
Step 1) We start by finding the first (F) and last (L) even numbers from 12 to 101. It is easy to do that by simply looking at the numbers. The first even number is 12, and the last even number is 100.
F = 12
L = 100
Step 2) Next, we calculate the total even numbers (T) there are from 12 to 101, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (100 - 12 + 2) ÷ 2
T = 90 ÷ 2
T = 45
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 12 to 101, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (45 ÷ 2) × (2 × 12 + (2 × (45 - 1))
Sum = 22.5 × (24 + 88)
Sum = 22.5 × 112
Sum = 2520
Sum of even numbers from 12 to 101 = 2520
Sum of Even Numbers Calculator
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