What is the average of the first 1801 natural numbers?

The average of the first 1801 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1801 natural numbers.

The first 1801 natural numbers are the whole numbers (integers) that start with 1 and end with 1801. To make a list of the first 1801 natural numbers, you simply count up to 1801.

To get the average of those 1801 numbers, you add them up and then divide the sum by 1801. 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 = 1801 in our formula, we get the average of the first 1801 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1801 × (1801 + 1)) ÷ 2) ÷ 1801
avg = ((1801 × 1802) ÷ 2) ÷ 1801
avg = (3245402 ÷ 2) ÷ 1801
avg = 1622701 ÷ 1801
average = 901

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