What is the sum of odd numbers from 122 to 199? Here we will show you step-by-step how to calculate the sum of odd numbers from 122 to 199.
Step 1) We start by finding the first (F) and last (L) odd numbers from 122 to 199. It is easy to do that by simply looking at the numbers. The first odd number is 123, and the last odd number is 199.
F = 123
L = 199
Step 2) Next, we calculate the total odd numbers (T) there are from 122 to 199, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (199 - 123 + 2) ÷ 2
T = 78 ÷ 2
T = 39
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 199, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (39 ÷ 2) × (2 × 123 + (2 × (39 - 1))
Sum = 19.5 × (246 + 76)
Sum = 19.5 × 322
Sum = 6279
Sum of odd numbers from 122 to 199 = 6279
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.