What is the sum of odd numbers from 18 to 40? Here we will show you step-by-step how to calculate the sum of odd numbers from 18 to 40.
Step 1) We start by finding the first (F) and last (L) odd numbers from 18 to 40. It is easy to do that by simply looking at the numbers. The first odd number is 19, and the last odd number is 39.
F = 19
L = 39
Step 2) Next, we calculate the total odd numbers (T) there are from 18 to 40, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (39 - 19 + 2) ÷ 2
T = 22 ÷ 2
T = 11
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 18 to 40, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (11 ÷ 2) × (2 × 19 + (2 × (11 - 1))
Sum = 5.5 × (38 + 20)
Sum = 5.5 × 58
Sum = 319
Sum of odd numbers from 18 to 40 = 319
Sum of Odd Numbers Calculator
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