The average of the first 150 natural numbers Here we will define and show you the formula and the math to calculate the average of the first 150 natural numbers.

The first 150 natural numbers are the whole numbers (integers) that start with 1 and end with 150. To make a list of the first 150 natural numbers, you simply count up to 150.

To get the average of those 150 numbers, you add them up and then divide the sum by 150. 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 = 150 in our formula, we get the average of the first 150 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((150 × (150 + 1)) ÷ 2) ÷ 150
avg = ((150 × 151) ÷ 2) ÷ 150
avg = (22650 ÷ 2) ÷ 150
avg = 11325 ÷ 150
average = 75.5

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