What is the sum of odd numbers from 6 to 17? Here we will show you step-by-step how to calculate the sum of odd numbers from 6 to 17.
Step 1) We start by finding the first (F) and last (L) odd numbers from 6 to 17. It is easy to do that by simply looking at the numbers. The first odd number is 7, and the last odd number is 17.
F = 7
L = 17
Step 2) Next, we calculate the total odd numbers (T) there are from 6 to 17, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (17 - 7 + 2) ÷ 2
T = 12 ÷ 2
T = 6
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 6 to 17, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (6 ÷ 2) × (2 × 7 + (2 × (6 - 1))
Sum = 3 × (14 + 10)
Sum = 3 × 24
Sum = 72
Sum of odd numbers from 6 to 17 = 72
Sum of Odd Numbers Calculator
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