What is the sum of odd numbers from 23 to 52? Here we will show you step-by-step how to calculate the sum of odd numbers from 23 to 52.
Step 1) We start by finding the first (F) and last (L) odd numbers from 23 to 52. It is easy to do that by simply looking at the numbers. The first odd number is 23, and the last odd number is 51.
F = 23
L = 51
Step 2) Next, we calculate the total odd numbers (T) there are from 23 to 52, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (51 - 23 + 2) ÷ 2
T = 30 ÷ 2
T = 15
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 23 to 52, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (15 ÷ 2) × (2 × 23 + (2 × (15 - 1))
Sum = 7.5 × (46 + 28)
Sum = 7.5 × 74
Sum = 555
Sum of odd numbers from 23 to 52 = 555
Sum of Odd Numbers Calculator
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