What is the sum of odd numbers from 2 to 73? Here we will show you step-by-step how to calculate the sum of odd numbers from 2 to 73.
Step 1) We start by finding the first (F) and last (L) odd numbers from 2 to 73. It is easy to do that by simply looking at the numbers. The first odd number is 3, and the last odd number is 73.
F = 3
L = 73
Step 2) Next, we calculate the total odd numbers (T) there are from 2 to 73, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (73 - 3 + 2) ÷ 2
T = 72 ÷ 2
T = 36
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 73, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (36 ÷ 2) × (2 × 3 + (2 × (36 - 1))
Sum = 18 × (6 + 70)
Sum = 18 × 76
Sum = 1368
Sum of odd numbers from 2 to 73 = 1368
Sum of Odd Numbers Calculator
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