The average of the first 171 natural numbers
Here we will define and show you the formula and the math to calculate the average of the first 171 natural numbers.
The first 171 natural numbers are the whole numbers (integers) that start with 1 and end with 171. To make a list of the first 171 natural numbers, you simply count up to 171.
To get the average of those 171 numbers, you add them up and then divide the sum by 171. 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 = 171 in our formula, we get the average of the first 171 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((171 × (171 + 1)) ÷ 2) ÷ 171
avg = ((171 × 172) ÷ 2) ÷ 171
avg = (29412 ÷ 2) ÷ 171
avg = 14706 ÷ 171
average = 86
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