The average of the first 2331 natural numbers


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Here we will define and show you the formula and the math to calculate the average of the first 2331 natural numbers.

The first 2331 natural numbers are the whole numbers (integers) that start with 1 and end with 2331. To make a list of the first 2331 natural numbers, you simply count up to 2331.

To get the average of those 2331 numbers, you add them up and then divide the sum by 2331. 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 = 2331 in our formula, we get the average of the first 2331 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2331 × (2331 + 1)) ÷ 2) ÷ 2331
avg = ((2331 × 2332) ÷ 2) ÷ 2331
avg = (5435892 ÷ 2) ÷ 2331
avg = 2717946 ÷ 2331
average = 1166


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