What is the sum of even numbers from 47 to 98? Here we will show you step-by-step how to calculate the sum of even numbers from 47 to 98.
Step 1) We start by finding the first (F) and last (L) even numbers from 47 to 98. It is easy to do that by simply looking at the numbers. The first even number is 48, and the last even number is 98.
F = 48
L = 98
Step 2) Next, we calculate the total even numbers (T) there are from 47 to 98, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (98 - 48 + 2) ÷ 2
T = 52 ÷ 2
T = 26
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 98, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (26 ÷ 2) × (2 × 48 + (2 × (26 - 1))
Sum = 13 × (96 + 50)
Sum = 13 × 146
Sum = 1898
Sum of even numbers from 47 to 98 = 1898
Sum of Even Numbers Calculator
Please use the tool below to calculate the sum of even numbers for another set of numbers.