What is the sum of odd numbers from 8 to 67? Here we will show you step-by-step how to calculate the sum of odd numbers from 8 to 67.
Step 1) We start by finding the first (F) and last (L) odd numbers from 8 to 67. It is easy to do that by simply looking at the numbers. The first odd number is 9, and the last odd number is 67.
F = 9
L = 67
Step 2) Next, we calculate the total odd numbers (T) there are from 8 to 67, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (67 - 9 + 2) ÷ 2
T = 60 ÷ 2
T = 30
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 8 to 67, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (30 ÷ 2) × (2 × 9 + (2 × (30 - 1))
Sum = 15 × (18 + 58)
Sum = 15 × 76
Sum = 1140
Sum of odd numbers from 8 to 67 = 1140
Sum of Odd Numbers Calculator
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