What is the average of the first 850 natural numbers?

The average of the first 850 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 850 natural numbers.

The first 850 natural numbers are the whole numbers (integers) that start with 1 and end with 850. To make a list of the first 850 natural numbers, you simply count up to 850.

To get the average of those 850 numbers, you add them up and then divide the sum by 850. 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 = 850 in our formula, we get the average of the first 850 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((850 × (850 + 1)) ÷ 2) ÷ 850
avg = ((850 × 851) ÷ 2) ÷ 850
avg = (723350 ÷ 2) ÷ 850
avg = 361675 ÷ 850
average = 425.5

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