What is the average of the first 9967 natural numbers?

The average of the first 9967 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 9967 natural numbers.

The first 9967 natural numbers are the whole numbers (integers) that start with 1 and end with 9967. To make a list of the first 9967 natural numbers, you simply count up to 9967.

To get the average of those 9967 numbers, you add them up and then divide the sum by 9967. 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 = 9967 in our formula, we get the average of the first 9967 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((9967 × (9967 + 1)) ÷ 2) ÷ 9967
avg = ((9967 × 9968) ÷ 2) ÷ 9967
avg = (99351056 ÷ 2) ÷ 9967
avg = 49675528 ÷ 9967
average = 4984

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