What is the average of the first 5935 natural numbers?

The average of the first 5935 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 5935 natural numbers.

The first 5935 natural numbers are the whole numbers (integers) that start with 1 and end with 5935. To make a list of the first 5935 natural numbers, you simply count up to 5935.

To get the average of those 5935 numbers, you add them up and then divide the sum by 5935. 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 = 5935 in our formula, we get the average of the first 5935 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((5935 × (5935 + 1)) ÷ 2) ÷ 5935
avg = ((5935 × 5936) ÷ 2) ÷ 5935
avg = (35230160 ÷ 2) ÷ 5935
avg = 17615080 ÷ 5935
average = 2968

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