What is the average of the first 224 natural numbers?

The average of the first 224 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 224 natural numbers.

The first 224 natural numbers are the whole numbers (integers) that start with 1 and end with 224. To make a list of the first 224 natural numbers, you simply count up to 224.

To get the average of those 224 numbers, you add them up and then divide the sum by 224. 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 = 224 in our formula, we get the average of the first 224 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((224 × (224 + 1)) ÷ 2) ÷ 224
avg = ((224 × 225) ÷ 2) ÷ 224
avg = (50400 ÷ 2) ÷ 224
avg = 25200 ÷ 224
average = 112.5

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What is the average of the first 225 natural numbers?
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