What is the average of the first 5940 natural numbers?

The average of the first 5940 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 5940 natural numbers.

The first 5940 natural numbers are the whole numbers (integers) that start with 1 and end with 5940. To make a list of the first 5940 natural numbers, you simply count up to 5940.

To get the average of those 5940 numbers, you add them up and then divide the sum by 5940. 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 = 5940 in our formula, we get the average of the first 5940 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((5940 × (5940 + 1)) ÷ 2) ÷ 5940
avg = ((5940 × 5941) ÷ 2) ÷ 5940
avg = (35289540 ÷ 2) ÷ 5940
avg = 17644770 ÷ 5940
average = 2970.5

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