What is the average of the first 868 natural numbers?

The average of the first 868 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 868 natural numbers.

The first 868 natural numbers are the whole numbers (integers) that start with 1 and end with 868. To make a list of the first 868 natural numbers, you simply count up to 868.

To get the average of those 868 numbers, you add them up and then divide the sum by 868. 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 = 868 in our formula, we get the average of the first 868 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((868 × (868 + 1)) ÷ 2) ÷ 868
avg = ((868 × 869) ÷ 2) ÷ 868
avg = (754292 ÷ 2) ÷ 868
avg = 377146 ÷ 868
average = 434.5

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