What is the sum of odd numbers from 6 to 85? Here we will show you step-by-step how to calculate the sum of odd numbers from 6 to 85.
Step 1) We start by finding the first (F) and last (L) odd numbers from 6 to 85. It is easy to do that by simply looking at the numbers. The first odd number is 7, and the last odd number is 85.
F = 7
L = 85
Step 2) Next, we calculate the total odd numbers (T) there are from 6 to 85, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (85 - 7 + 2) ÷ 2
T = 80 ÷ 2
T = 40
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 6 to 85, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (40 ÷ 2) × (2 × 7 + (2 × (40 - 1))
Sum = 20 × (14 + 78)
Sum = 20 × 92
Sum = 1840
Sum of odd numbers from 6 to 85 = 1840
Sum of Odd Numbers Calculator
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