What is the sum of even numbers from 30 to 117? Here we will show you step-by-step how to calculate the sum of even numbers from 30 to 117.
Step 1) We start by finding the first (F) and last (L) even numbers from 30 to 117. It is easy to do that by simply looking at the numbers. The first even number is 30, and the last even number is 116.
F = 30
L = 116
Step 2) Next, we calculate the total even numbers (T) there are from 30 to 117, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (116 - 30 + 2) ÷ 2
T = 88 ÷ 2
T = 44
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 30 to 117, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (44 ÷ 2) × (2 × 30 + (2 × (44 - 1))
Sum = 22 × (60 + 86)
Sum = 22 × 146
Sum = 3212
Sum of even numbers from 30 to 117 = 3212
Sum of Even Numbers Calculator
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