What is the average of the first 1642 natural numbers?

The average of the first 1642 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1642 natural numbers.

The first 1642 natural numbers are the whole numbers (integers) that start with 1 and end with 1642. To make a list of the first 1642 natural numbers, you simply count up to 1642.

To get the average of those 1642 numbers, you add them up and then divide the sum by 1642. 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 = 1642 in our formula, we get the average of the first 1642 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1642 × (1642 + 1)) ÷ 2) ÷ 1642
avg = ((1642 × 1643) ÷ 2) ÷ 1642
avg = (2697806 ÷ 2) ÷ 1642
avg = 1348903 ÷ 1642
average = 821.5

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 1643 natural numbers?
Here is a similar math problem that we have answered for you.