What is the sum of odd numbers from 10 to 75? Here we will show you step-by-step how to calculate the sum of odd numbers from 10 to 75.
Step 1) We start by finding the first (F) and last (L) odd numbers from 10 to 75. It is easy to do that by simply looking at the numbers. The first odd number is 11, and the last odd number is 75.
F = 11
L = 75
Step 2) Next, we calculate the total odd numbers (T) there are from 10 to 75, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (75 - 11 + 2) ÷ 2
T = 66 ÷ 2
T = 33
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 10 to 75, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (33 ÷ 2) × (2 × 11 + (2 × (33 - 1))
Sum = 16.5 × (22 + 64)
Sum = 16.5 × 86
Sum = 1419
Sum of odd numbers from 10 to 75 = 1419
Sum of Odd Numbers Calculator
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