What is the sum of odd numbers from 2 to 51? Here we will show you step-by-step how to calculate the sum of odd numbers from 2 to 51.
Step 1) We start by finding the first (F) and last (L) odd numbers from 2 to 51. It is easy to do that by simply looking at the numbers. The first odd number is 3, and the last odd number is 51.
F = 3
L = 51
Step 2) Next, we calculate the total odd numbers (T) there are from 2 to 51, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (51 - 3 + 2) ÷ 2
T = 50 ÷ 2
T = 25
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 2 to 51, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (25 ÷ 2) × (2 × 3 + (2 × (25 - 1))
Sum = 12.5 × (6 + 48)
Sum = 12.5 × 54
Sum = 675
Sum of odd numbers from 2 to 51 = 675
Sum of Odd Numbers Calculator
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