What is the sum of odd numbers from 18 to 38? Here we will show you step-by-step how to calculate the sum of odd numbers from 18 to 38.
Step 1) We start by finding the first (F) and last (L) odd numbers from 18 to 38. It is easy to do that by simply looking at the numbers. The first odd number is 19, and the last odd number is 37.
F = 19
L = 37
Step 2) Next, we calculate the total odd numbers (T) there are from 18 to 38, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (37 - 19 + 2) ÷ 2
T = 20 ÷ 2
T = 10
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 38, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (10 ÷ 2) × (2 × 19 + (2 × (10 - 1))
Sum = 5 × (38 + 18)
Sum = 5 × 56
Sum = 280
Sum of odd numbers from 18 to 38 = 280
Sum of Odd Numbers Calculator
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