What is the sum of even numbers from 48 to 69? Here we will show you step-by-step how to calculate the sum of even numbers from 48 to 69.
Step 1) We start by finding the first (F) and last (L) even numbers from 48 to 69. It is easy to do that by simply looking at the numbers. The first even number is 48, and the last even number is 68.
F = 48
L = 68
Step 2) Next, we calculate the total even numbers (T) there are from 48 to 69, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (68 - 48 + 2) ÷ 2
T = 22 ÷ 2
T = 11
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 48 to 69, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (11 ÷ 2) × (2 × 48 + (2 × (11 - 1))
Sum = 5.5 × (96 + 20)
Sum = 5.5 × 116
Sum = 638
Sum of even numbers from 48 to 69 = 638
Sum of Even Numbers Calculator
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