What is the average of the first 5948 natural numbers?

The average of the first 5948 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 5948 natural numbers.

The first 5948 natural numbers are the whole numbers (integers) that start with 1 and end with 5948. To make a list of the first 5948 natural numbers, you simply count up to 5948.

To get the average of those 5948 numbers, you add them up and then divide the sum by 5948. 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 = 5948 in our formula, we get the average of the first 5948 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((5948 × (5948 + 1)) ÷ 2) ÷ 5948
avg = ((5948 × 5949) ÷ 2) ÷ 5948
avg = (35384652 ÷ 2) ÷ 5948
avg = 17692326 ÷ 5948
average = 2974.5

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