What is the average of the first 5001 natural numbers?

The average of the first 5001 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 5001 natural numbers.

The first 5001 natural numbers are the whole numbers (integers) that start with 1 and end with 5001. To make a list of the first 5001 natural numbers, you simply count up to 5001.

To get the average of those 5001 numbers, you add them up and then divide the sum by 5001. 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 = 5001 in our formula, we get the average of the first 5001 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((5001 × (5001 + 1)) ÷ 2) ÷ 5001
avg = ((5001 × 5002) ÷ 2) ÷ 5001
avg = (25015002 ÷ 2) ÷ 5001
avg = 12507501 ÷ 5001
average = 2501

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