What is the average of the first 401 natural numbers?

The average of the first 401 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 401 natural numbers.

The first 401 natural numbers are the whole numbers (integers) that start with 1 and end with 401. To make a list of the first 401 natural numbers, you simply count up to 401.

To get the average of those 401 numbers, you add them up and then divide the sum by 401. 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 = 401 in our formula, we get the average of the first 401 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((401 × (401 + 1)) ÷ 2) ÷ 401
avg = ((401 × 402) ÷ 2) ÷ 401
avg = (161202 ÷ 2) ÷ 401
avg = 80601 ÷ 401
average = 201

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