What is the average of the first 500 natural numbers?

The average of the first 500 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 500 natural numbers.

The first 500 natural numbers are the whole numbers (integers) that start with 1 and end with 500. To make a list of the first 500 natural numbers, you simply count up to 500.

To get the average of those 500 numbers, you add them up and then divide the sum by 500. 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 = 500 in our formula, we get the average of the first 500 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((500 × (500 + 1)) ÷ 2) ÷ 500
avg = ((500 × 501) ÷ 2) ÷ 500
avg = (250500 ÷ 2) ÷ 500
avg = 125250 ÷ 500
average = 250.5

Average of the First Natural Numbers Calculator
Do you need the average of another number of first natural numbers? Please enter your number here.

What is the average of the first 501 natural numbers?
Here is a similar math problem that we have answered for you.