What is the sum of even numbers from 47 to 109? Here we will show you step-by-step how to calculate the sum of even numbers from 47 to 109.
Step 1) We start by finding the first (F) and last (L) even numbers from 47 to 109. It is easy to do that by simply looking at the numbers. The first even number is 48, and the last even number is 108.
F = 48
L = 108
Step 2) Next, we calculate the total even numbers (T) there are from 47 to 109, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (108 - 48 + 2) ÷ 2
T = 62 ÷ 2
T = 31
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 47 to 109, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (31 ÷ 2) × (2 × 48 + (2 × (31 - 1))
Sum = 15.5 × (96 + 60)
Sum = 15.5 × 156
Sum = 2418
Sum of even numbers from 47 to 109 = 2418
Sum of Even Numbers Calculator
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