What is the sum of odd numbers from 38 to 104? Here we will show you step-by-step how to calculate the sum of odd numbers from 38 to 104.
Step 1) We start by finding the first (F) and last (L) odd numbers from 38 to 104. It is easy to do that by simply looking at the numbers. The first odd number is 39, and the last odd number is 103.
F = 39
L = 103
Step 2) Next, we calculate the total odd numbers (T) there are from 38 to 104, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (103 - 39 + 2) ÷ 2
T = 66 ÷ 2
T = 33
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 38 to 104, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (33 ÷ 2) × (2 × 39 + (2 × (33 - 1))
Sum = 16.5 × (78 + 64)
Sum = 16.5 × 142
Sum = 2343
Sum of odd numbers from 38 to 104 = 2343
Sum of Odd Numbers Calculator
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