What is the average of the first 2104 natural numbers?

The average of the first 2104 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2104 natural numbers.

The first 2104 natural numbers are the whole numbers (integers) that start with 1 and end with 2104. To make a list of the first 2104 natural numbers, you simply count up to 2104.

To get the average of those 2104 numbers, you add them up and then divide the sum by 2104. 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 = 2104 in our formula, we get the average of the first 2104 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2104 × (2104 + 1)) ÷ 2) ÷ 2104
avg = ((2104 × 2105) ÷ 2) ÷ 2104
avg = (4428920 ÷ 2) ÷ 2104
avg = 2214460 ÷ 2104
average = 1052.5

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