What is the sum of odd numbers from 2 to 47? Here we will show you step-by-step how to calculate the sum of odd numbers from 2 to 47.
Step 1) We start by finding the first (F) and last (L) odd numbers from 2 to 47. It is easy to do that by simply looking at the numbers. The first odd number is 3, and the last odd number is 47.
F = 3
L = 47
Step 2) Next, we calculate the total odd numbers (T) there are from 2 to 47, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (47 - 3 + 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 2 to 47, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (23 ÷ 2) × (2 × 3 + (2 × (23 - 1))
Sum = 11.5 × (6 + 44)
Sum = 11.5 × 50
Sum = 575
Sum of odd numbers from 2 to 47 = 575
Sum of Odd Numbers Calculator
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