What is the average of the first 2014 natural numbers?

The average of the first 2014 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2014 natural numbers.

The first 2014 natural numbers are the whole numbers (integers) that start with 1 and end with 2014. To make a list of the first 2014 natural numbers, you simply count up to 2014.

To get the average of those 2014 numbers, you add them up and then divide the sum by 2014. 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 = 2014 in our formula, we get the average of the first 2014 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2014 × (2014 + 1)) ÷ 2) ÷ 2014
avg = ((2014 × 2015) ÷ 2) ÷ 2014
avg = (4058210 ÷ 2) ÷ 2014
avg = 2029105 ÷ 2014
average = 1007.5

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What is the average of the first 2015 natural numbers?
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