What is the sum of odd numbers from 11 to 55? Here we will show you step-by-step how to calculate the sum of odd numbers from 11 to 55.
Step 1) We start by finding the first (F) and last (L) odd numbers from 11 to 55. It is easy to do that by simply looking at the numbers. The first odd number is 11, and the last odd number is 55.
F = 11
L = 55
Step 2) Next, we calculate the total odd numbers (T) there are from 11 to 55, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (55 - 11 + 2) ÷ 2
T = 46 ÷ 2
T = 23
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 11 to 55, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (23 ÷ 2) × (2 × 11 + (2 × (23 - 1))
Sum = 11.5 × (22 + 44)
Sum = 11.5 × 66
Sum = 759
Sum of odd numbers from 11 to 55 = 759
Sum of Odd Numbers Calculator
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