What is the average of the first 7005 natural numbers?

The average of the first 7005 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 7005 natural numbers.

The first 7005 natural numbers are the whole numbers (integers) that start with 1 and end with 7005. To make a list of the first 7005 natural numbers, you simply count up to 7005.

To get the average of those 7005 numbers, you add them up and then divide the sum by 7005. 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 = 7005 in our formula, we get the average of the first 7005 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((7005 × (7005 + 1)) ÷ 2) ÷ 7005
avg = ((7005 × 7006) ÷ 2) ÷ 7005
avg = (49077030 ÷ 2) ÷ 7005
avg = 24538515 ÷ 7005
average = 3503

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