What is the sum of even numbers from 9 to 74? Here we will show you step-by-step how to calculate the sum of even numbers from 9 to 74.
Step 1) We start by finding the first (F) and last (L) even numbers from 9 to 74. It is easy to do that by simply looking at the numbers. The first even number is 10, and the last even number is 74.
F = 10
L = 74
Step 2) Next, we calculate the total even numbers (T) there are from 9 to 74, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (74 - 10 + 2) ÷ 2
T = 66 ÷ 2
T = 33
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 9 to 74, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (33 ÷ 2) × (2 × 10 + (2 × (33 - 1))
Sum = 16.5 × (20 + 64)
Sum = 16.5 × 84
Sum = 1386
Sum of even numbers from 9 to 74 = 1386
Sum of Even Numbers Calculator
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