What is the average of the first 149 natural numbers?

The average of the first 149 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 149 natural numbers.

The first 149 natural numbers are the whole numbers (integers) that start with 1 and end with 149. To make a list of the first 149 natural numbers, you simply count up to 149.

To get the average of those 149 numbers, you add them up and then divide the sum by 149. 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 = 149 in our formula, we get the average of the first 149 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((149 × (149 + 1)) ÷ 2) ÷ 149
avg = ((149 × 150) ÷ 2) ÷ 149
avg = (22350 ÷ 2) ÷ 149
avg = 11175 ÷ 149
average = 75

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