What is the sum of odd numbers from 3 to 173? Here we will show you step-by-step how to calculate the sum of odd numbers from 3 to 173.
Step 1) We start by finding the first (F) and last (L) odd numbers from 3 to 173. It is easy to do that by simply looking at the numbers. The first odd number is 3, and the last odd number is 173.
F = 3
L = 173
Step 2) Next, we calculate the total odd numbers (T) there are from 3 to 173, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (173 - 3 + 2) ÷ 2
T = 172 ÷ 2
T = 86
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 3 to 173, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (86 ÷ 2) × (2 × 3 + (2 × (86 - 1))
Sum = 43 × (6 + 170)
Sum = 43 × 176
Sum = 7568
Sum of odd numbers from 3 to 173 = 7568
Sum of Odd Numbers Calculator
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