What is the sum of odd numbers from 122 to 176? Here we will show you step-by-step how to calculate the sum of odd numbers from 122 to 176.
Step 1) We start by finding the first (F) and last (L) odd numbers from 122 to 176. It is easy to do that by simply looking at the numbers. The first odd number is 123, and the last odd number is 175.
F = 123
L = 175
Step 2) Next, we calculate the total odd numbers (T) there are from 122 to 176, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (175 - 123 + 2) ÷ 2
T = 54 ÷ 2
T = 27
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 122 to 176, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (27 ÷ 2) × (2 × 123 + (2 × (27 - 1))
Sum = 13.5 × (246 + 52)
Sum = 13.5 × 298
Sum = 4023
Sum of odd numbers from 122 to 176 = 4023
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.