What is the average of the first 221 natural numbers?

The average of the first 221 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 221 natural numbers.

The first 221 natural numbers are the whole numbers (integers) that start with 1 and end with 221. To make a list of the first 221 natural numbers, you simply count up to 221.

To get the average of those 221 numbers, you add them up and then divide the sum by 221. 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 = 221 in our formula, we get the average of the first 221 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((221 × (221 + 1)) ÷ 2) ÷ 221
avg = ((221 × 222) ÷ 2) ÷ 221
avg = (49062 ÷ 2) ÷ 221
avg = 24531 ÷ 221
average = 111

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