The average of the first 179 natural numbers
Here we will define and show you the formula and the math to calculate the average of the first 179 natural numbers.
The first 179 natural numbers are the whole numbers (integers) that start with 1 and end with 179. To make a list of the first 179 natural numbers, you simply count up to 179.
To get the average of those 179 numbers, you add them up and then divide the sum by 179. 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 = 179 in our formula, we get the average of the first 179 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((179 × (179 + 1)) ÷ 2) ÷ 179
avg = ((179 × 180) ÷ 2) ÷ 179
avg = (32220 ÷ 2) ÷ 179
avg = 16110 ÷ 179
average = 90
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