What is the average of the first 8022 natural numbers?

The average of the first 8022 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 8022 natural numbers.

The first 8022 natural numbers are the whole numbers (integers) that start with 1 and end with 8022. To make a list of the first 8022 natural numbers, you simply count up to 8022.

To get the average of those 8022 numbers, you add them up and then divide the sum by 8022. 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 = 8022 in our formula, we get the average of the first 8022 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((8022 × (8022 + 1)) ÷ 2) ÷ 8022
avg = ((8022 × 8023) ÷ 2) ÷ 8022
avg = (64360506 ÷ 2) ÷ 8022
avg = 32180253 ÷ 8022
average = 4011.5

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