What is the average of the first 229 natural numbers?

The average of the first 229 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 229 natural numbers.

The first 229 natural numbers are the whole numbers (integers) that start with 1 and end with 229. To make a list of the first 229 natural numbers, you simply count up to 229.

To get the average of those 229 numbers, you add them up and then divide the sum by 229. 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 = 229 in our formula, we get the average of the first 229 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((229 × (229 + 1)) ÷ 2) ÷ 229
avg = ((229 × 230) ÷ 2) ÷ 229
avg = (52670 ÷ 2) ÷ 229
avg = 26335 ÷ 229
average = 115

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What is the average of the first 230 natural numbers?
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