What is the average of the first 132 natural numbers?

The average of the first 132 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 132 natural numbers.

The first 132 natural numbers are the whole numbers (integers) that start with 1 and end with 132. To make a list of the first 132 natural numbers, you simply count up to 132.

To get the average of those 132 numbers, you add them up and then divide the sum by 132. 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 = 132 in our formula, we get the average of the first 132 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((132 × (132 + 1)) ÷ 2) ÷ 132
avg = ((132 × 133) ÷ 2) ÷ 132
avg = (17556 ÷ 2) ÷ 132
avg = 8778 ÷ 132
average = 66.5

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What is the average of the first 133 natural numbers?
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