What is the sum of odd numbers from 8 to 23? Here we will show you step-by-step how to calculate the sum of odd numbers from 8 to 23.
Step 1) We start by finding the first (F) and last (L) odd numbers from 8 to 23. It is easy to do that by simply looking at the numbers. The first odd number is 9, and the last odd number is 23.
F = 9
L = 23
Step 2) Next, we calculate the total odd numbers (T) there are from 8 to 23, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (23 - 9 + 2) ÷ 2
T = 16 ÷ 2
T = 8
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 23, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (8 ÷ 2) × (2 × 9 + (2 × (8 - 1))
Sum = 4 × (18 + 14)
Sum = 4 × 32
Sum = 128
Sum of odd numbers from 8 to 23 = 128
Sum of Odd Numbers Calculator
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