What is the sum of odd numbers from 10 to 95? Here we will show you step-by-step how to calculate the sum of odd numbers from 10 to 95.
Step 1) We start by finding the first (F) and last (L) odd numbers from 10 to 95. It is easy to do that by simply looking at the numbers. The first odd number is 11, and the last odd number is 95.
F = 11
L = 95
Step 2) Next, we calculate the total odd numbers (T) there are from 10 to 95, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (95 - 11 + 2) ÷ 2
T = 86 ÷ 2
T = 43
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 95, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (43 ÷ 2) × (2 × 11 + (2 × (43 - 1))
Sum = 21.5 × (22 + 84)
Sum = 21.5 × 106
Sum = 2279
Sum of odd numbers from 10 to 95 = 2279
Sum of Odd Numbers Calculator
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