What is the average of the first 998 natural numbers?

The average of the first 998 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 998 natural numbers.

The first 998 natural numbers are the whole numbers (integers) that start with 1 and end with 998. To make a list of the first 998 natural numbers, you simply count up to 998.

To get the average of those 998 numbers, you add them up and then divide the sum by 998. 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 = 998 in our formula, we get the average of the first 998 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((998 × (998 + 1)) ÷ 2) ÷ 998
avg = ((998 × 999) ÷ 2) ÷ 998
avg = (997002 ÷ 2) ÷ 998
avg = 498501 ÷ 998
average = 499.5

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