The average of the first 232 natural numbers
Here we will define and show you the formula and the math to calculate the average of the first 232 natural numbers.
The first 232 natural numbers are the whole numbers (integers) that start with 1 and end with 232. To make a list of the first 232 natural numbers, you simply count up to 232.
To get the average of those 232 numbers, you add them up and then divide the sum by 232. 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 = 232 in our formula, we get the average of the first 232 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((232 × (232 + 1)) ÷ 2) ÷ 232
avg = ((232 × 233) ÷ 2) ÷ 232
avg = (54056 ÷ 2) ÷ 232
avg = 27028 ÷ 232
average = 116.5
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