What is the average of the first 301 natural numbers?

The average of the first 301 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 301 natural numbers.

The first 301 natural numbers are the whole numbers (integers) that start with 1 and end with 301. To make a list of the first 301 natural numbers, you simply count up to 301.

To get the average of those 301 numbers, you add them up and then divide the sum by 301. 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 = 301 in our formula, we get the average of the first 301 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((301 × (301 + 1)) ÷ 2) ÷ 301
avg = ((301 × 302) ÷ 2) ÷ 301
avg = (90902 ÷ 2) ÷ 301
avg = 45451 ÷ 301
average = 151

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