What is the sum of odd numbers from 60 to 107? Here we will show you step-by-step how to calculate the sum of odd numbers from 60 to 107.
Step 1) We start by finding the first (F) and last (L) odd numbers from 60 to 107. It is easy to do that by simply looking at the numbers. The first odd number is 61, and the last odd number is 107.
F = 61
L = 107
Step 2) Next, we calculate the total odd numbers (T) there are from 60 to 107, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (107 - 61 + 2) ÷ 2
T = 48 ÷ 2
T = 24
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 60 to 107, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (24 ÷ 2) × (2 × 61 + (2 × (24 - 1))
Sum = 12 × (122 + 46)
Sum = 12 × 168
Sum = 2016
Sum of odd numbers from 60 to 107 = 2016
Sum of Odd Numbers Calculator
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