What is the average of the first 120 natural numbers?

The average of the first 120 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 120 natural numbers.

The first 120 natural numbers are the whole numbers (integers) that start with 1 and end with 120. To make a list of the first 120 natural numbers, you simply count up to 120.

To get the average of those 120 numbers, you add them up and then divide the sum by 120. 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 = 120 in our formula, we get the average of the first 120 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((120 × (120 + 1)) ÷ 2) ÷ 120
avg = ((120 × 121) ÷ 2) ÷ 120
avg = (14520 ÷ 2) ÷ 120
avg = 7260 ÷ 120
average = 60.5

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