What is the sum of odd numbers from 38 to 87? Here we will show you step-by-step how to calculate the sum of odd numbers from 38 to 87.
Step 1) We start by finding the first (F) and last (L) odd numbers from 38 to 87. It is easy to do that by simply looking at the numbers. The first odd number is 39, and the last odd number is 87.
F = 39
L = 87
Step 2) Next, we calculate the total odd numbers (T) there are from 38 to 87, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (87 - 39 + 2) ÷ 2
T = 50 ÷ 2
T = 25
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 87, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (25 ÷ 2) × (2 × 39 + (2 × (25 - 1))
Sum = 12.5 × (78 + 48)
Sum = 12.5 × 126
Sum = 1575
Sum of odd numbers from 38 to 87 = 1575
Sum of Odd Numbers Calculator
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