What is the sum of odd numbers from 1 to 117? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 117.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 117. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 117.
F = 1
L = 117
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 117, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (117 - 1 + 2) ÷ 2
T = 118 ÷ 2
T = 59
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 117, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (59 ÷ 2) × (2 × 1 + (2 × (59 - 1))
Sum = 29.5 × (2 + 116)
Sum = 29.5 × 118
Sum = 3481
Sum of odd numbers from 1 to 117 = 3481
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.