What is the average of the first 5009 natural numbers?

The average of the first 5009 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 5009 natural numbers.

The first 5009 natural numbers are the whole numbers (integers) that start with 1 and end with 5009. To make a list of the first 5009 natural numbers, you simply count up to 5009.

To get the average of those 5009 numbers, you add them up and then divide the sum by 5009. 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 = 5009 in our formula, we get the average of the first 5009 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((5009 × (5009 + 1)) ÷ 2) ÷ 5009
avg = ((5009 × 5010) ÷ 2) ÷ 5009
avg = (25095090 ÷ 2) ÷ 5009
avg = 12547545 ÷ 5009
average = 2505

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