What is the sum of even numbers from 47 to 110? Here we will show you step-by-step how to calculate the sum of even numbers from 47 to 110.
Step 1) We start by finding the first (F) and last (L) even numbers from 47 to 110. It is easy to do that by simply looking at the numbers. The first even number is 48, and the last even number is 110.
F = 48
L = 110
Step 2) Next, we calculate the total even numbers (T) there are from 47 to 110, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (110 - 48 + 2) ÷ 2
T = 64 ÷ 2
T = 32
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 110, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (32 ÷ 2) × (2 × 48 + (2 × (32 - 1))
Sum = 16 × (96 + 62)
Sum = 16 × 158
Sum = 2528
Sum of even numbers from 47 to 110 = 2528
Sum of Even Numbers Calculator
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