How many odd numbers between 1 and 1965?




How many odd numbers between 1 and 1965? You could just make a list of all the odd numbers between 1 and 1965 and then count them, but what fun would that be?

Instead, we have created this simple process with a small formula to calculate exactly how many odd numbers there are between 1 and 1965.

We start by determining the first odd number and last odd number between 1 and 1965. The numbers between 1 and 1965 start with 2 and end with 1964. That means that the first odd number is 3 and the last odd number is 1963.

Now you add 2 to the difference of the last odd number and the first odd number, and then divide the sum by 2. Here is the formula and the answer to "How many odd numbers between 1 and 1965?"

N = (Last - First + 2) ÷ 2
N = (1963 - 3 + 2) ÷ 2
N = 1962 ÷ 2
N = 981
Odd numbers between 1 and 1965 = 981


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