What is the average of the first 9667 natural numbers?

The average of the first 9667 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 9667 natural numbers.

The first 9667 natural numbers are the whole numbers (integers) that start with 1 and end with 9667. To make a list of the first 9667 natural numbers, you simply count up to 9667.

To get the average of those 9667 numbers, you add them up and then divide the sum by 9667. 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 = 9667 in our formula, we get the average of the first 9667 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((9667 × (9667 + 1)) ÷ 2) ÷ 9667
avg = ((9667 × 9668) ÷ 2) ÷ 9667
avg = (93460556 ÷ 2) ÷ 9667
avg = 46730278 ÷ 9667
average = 4834

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