What is the sum of odd numbers from 1 to 108? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 108.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 108. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 107.
F = 1
L = 107
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 108, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (107 - 1 + 2) ÷ 2
T = 108 ÷ 2
T = 54
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 1 to 108, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (54 ÷ 2) × (2 × 1 + (2 × (54 - 1))
Sum = 27 × (2 + 106)
Sum = 27 × 108
Sum = 2916
Sum of odd numbers from 1 to 108 = 2916
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.