What is the average of the first 2012 natural numbers?

The average of the first 2012 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2012 natural numbers.

The first 2012 natural numbers are the whole numbers (integers) that start with 1 and end with 2012. To make a list of the first 2012 natural numbers, you simply count up to 2012.

To get the average of those 2012 numbers, you add them up and then divide the sum by 2012. We created a formula that can calculate the average of any sequence of natural numbers starting with 1. Here is the formula to calculate the average (avg) of the first n natural numbers:

avg = ((n × (n + 1)) ÷ 2) ÷ n

When we enter n = 2012 in our formula, we get the average of the first 2012 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2012 × (2012 + 1)) ÷ 2) ÷ 2012
avg = ((2012 × 2013) ÷ 2) ÷ 2012
avg = (4050156 ÷ 2) ÷ 2012
avg = 2025078 ÷ 2012
average = 1006.5

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What is the average of the first 2013 natural numbers?
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