What is the average of the first 9005 natural numbers?

The average of the first 9005 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 9005 natural numbers.

The first 9005 natural numbers are the whole numbers (integers) that start with 1 and end with 9005. To make a list of the first 9005 natural numbers, you simply count up to 9005.

To get the average of those 9005 numbers, you add them up and then divide the sum by 9005. 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 = 9005 in our formula, we get the average of the first 9005 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((9005 × (9005 + 1)) ÷ 2) ÷ 9005
avg = ((9005 × 9006) ÷ 2) ÷ 9005
avg = (81099030 ÷ 2) ÷ 9005
avg = 40549515 ÷ 9005
average = 4503

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