What is the sum of even numbers from 56 to 165? Here we will show you step-by-step how to calculate the sum of even numbers from 56 to 165.
Step 1) We start by finding the first (F) and last (L) even numbers from 56 to 165. It is easy to do that by simply looking at the numbers. The first even number is 56, and the last even number is 164.
F = 56
L = 164
Step 2) Next, we calculate the total even numbers (T) there are from 56 to 165, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (164 - 56 + 2) ÷ 2
T = 110 ÷ 2
T = 55
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 56 to 165, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (55 ÷ 2) × (2 × 56 + (2 × (55 - 1))
Sum = 27.5 × (112 + 108)
Sum = 27.5 × 220
Sum = 6050
Sum of even numbers from 56 to 165 = 6050
Sum of Even Numbers Calculator
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