The average of the first 2133 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 2133 natural numbers.

The first 2133 natural numbers are the whole numbers (integers) that start with 1 and end with 2133. To make a list of the first 2133 natural numbers, you simply count up to 2133.

To get the average of those 2133 numbers, you add them up and then divide the sum by 2133. 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 = 2133 in our formula, we get the average of the first 2133 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2133 × (2133 + 1)) ÷ 2) ÷ 2133
avg = ((2133 × 2134) ÷ 2) ÷ 2133
avg = (4551822 ÷ 2) ÷ 2133
avg = 2275911 ÷ 2133
average = 1067


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