What is the average of the first 5104 natural numbers?

The average of the first 5104 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 5104 natural numbers.

The first 5104 natural numbers are the whole numbers (integers) that start with 1 and end with 5104. To make a list of the first 5104 natural numbers, you simply count up to 5104.

To get the average of those 5104 numbers, you add them up and then divide the sum by 5104. 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 = 5104 in our formula, we get the average of the first 5104 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((5104 × (5104 + 1)) ÷ 2) ÷ 5104
avg = ((5104 × 5105) ÷ 2) ÷ 5104
avg = (26055920 ÷ 2) ÷ 5104
avg = 13027960 ÷ 5104
average = 2552.5

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