What is the average of the first 2007 natural numbers?

The average of the first 2007 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2007 natural numbers.

The first 2007 natural numbers are the whole numbers (integers) that start with 1 and end with 2007. To make a list of the first 2007 natural numbers, you simply count up to 2007.

To get the average of those 2007 numbers, you add them up and then divide the sum by 2007. 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 = 2007 in our formula, we get the average of the first 2007 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2007 × (2007 + 1)) ÷ 2) ÷ 2007
avg = ((2007 × 2008) ÷ 2) ÷ 2007
avg = (4030056 ÷ 2) ÷ 2007
avg = 2015028 ÷ 2007
average = 1004

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What is the average of the first 2008 natural numbers?
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