What is the sum of even numbers from 47 to 96? Here we will show you step-by-step how to calculate the sum of even numbers from 47 to 96.
Step 1) We start by finding the first (F) and last (L) even numbers from 47 to 96. It is easy to do that by simply looking at the numbers. The first even number is 48, and the last even number is 96.
F = 48
L = 96
Step 2) Next, we calculate the total even numbers (T) there are from 47 to 96, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (96 - 48 + 2) ÷ 2
T = 50 ÷ 2
T = 25
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 47 to 96, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (25 ÷ 2) × (2 × 48 + (2 × (25 - 1))
Sum = 12.5 × (96 + 48)
Sum = 12.5 × 144
Sum = 1800
Sum of even numbers from 47 to 96 = 1800
Sum of Even Numbers Calculator
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