What is the average of the first 521 natural numbers?

The average of the first 521 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 521 natural numbers.

The first 521 natural numbers are the whole numbers (integers) that start with 1 and end with 521. To make a list of the first 521 natural numbers, you simply count up to 521.

To get the average of those 521 numbers, you add them up and then divide the sum by 521. 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 = 521 in our formula, we get the average of the first 521 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((521 × (521 + 1)) ÷ 2) ÷ 521
avg = ((521 × 522) ÷ 2) ÷ 521
avg = (271962 ÷ 2) ÷ 521
avg = 135981 ÷ 521
average = 261

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 522 natural numbers?
Here is a similar math problem that we have answered for you.