What is the sum of even numbers from 5 to 174? Here we will show you step-by-step how to calculate the sum of even numbers from 5 to 174.
Step 1) We start by finding the first (F) and last (L) even numbers from 5 to 174. It is easy to do that by simply looking at the numbers. The first even number is 6, and the last even number is 174.
F = 6
L = 174
Step 2) Next, we calculate the total even numbers (T) there are from 5 to 174, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (174 - 6 + 2) ÷ 2
T = 170 ÷ 2
T = 85
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 5 to 174, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (85 ÷ 2) × (2 × 6 + (2 × (85 - 1))
Sum = 42.5 × (12 + 168)
Sum = 42.5 × 180
Sum = 7650
Sum of even numbers from 5 to 174 = 7650
Sum of Even Numbers Calculator
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