What is the average of the first 2040 natural numbers?

The average of the first 2040 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2040 natural numbers.

The first 2040 natural numbers are the whole numbers (integers) that start with 1 and end with 2040. To make a list of the first 2040 natural numbers, you simply count up to 2040.

To get the average of those 2040 numbers, you add them up and then divide the sum by 2040. 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 = 2040 in our formula, we get the average of the first 2040 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2040 × (2040 + 1)) ÷ 2) ÷ 2040
avg = ((2040 × 2041) ÷ 2) ÷ 2040
avg = (4163640 ÷ 2) ÷ 2040
avg = 2081820 ÷ 2040
average = 1020.5

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