What is the average of the first 151 natural numbers?

The average of the first 151 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 151 natural numbers.

The first 151 natural numbers are the whole numbers (integers) that start with 1 and end with 151. To make a list of the first 151 natural numbers, you simply count up to 151.

To get the average of those 151 numbers, you add them up and then divide the sum by 151. 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 = 151 in our formula, we get the average of the first 151 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((151 × (151 + 1)) ÷ 2) ÷ 151
avg = ((151 × 152) ÷ 2) ÷ 151
avg = (22952 ÷ 2) ÷ 151
avg = 11476 ÷ 151
average = 76

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