What is the sum of odd numbers from 122 to 137? Here we will show you step-by-step how to calculate the sum of odd numbers from 122 to 137.
Step 1) We start by finding the first (F) and last (L) odd numbers from 122 to 137. It is easy to do that by simply looking at the numbers. The first odd number is 123, and the last odd number is 137.
F = 123
L = 137
Step 2) Next, we calculate the total odd numbers (T) there are from 122 to 137, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (137 - 123 + 2) ÷ 2
T = 16 ÷ 2
T = 8
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 137, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (8 ÷ 2) × (2 × 123 + (2 × (8 - 1))
Sum = 4 × (246 + 14)
Sum = 4 × 260
Sum = 1040
Sum of odd numbers from 122 to 137 = 1040
Sum of Odd Numbers Calculator
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