What is the sum of odd numbers from 72 to 77? Here we will show you step-by-step how to calculate the sum of odd numbers from 72 to 77.
Step 1) We start by finding the first (F) and last (L) odd numbers from 72 to 77. It is easy to do that by simply looking at the numbers. The first odd number is 73, and the last odd number is 77.
F = 73
L = 77
Step 2) Next, we calculate the total odd numbers (T) there are from 72 to 77, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (77 - 73 + 2) ÷ 2
T = 6 ÷ 2
T = 3
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 72 to 77, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (3 ÷ 2) × (2 × 73 + (2 × (3 - 1))
Sum = 1.5 × (146 + 4)
Sum = 1.5 × 150
Sum = 225
Sum of odd numbers from 72 to 77 = 225
Sum of Odd Numbers Calculator
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