What is the average of the first 2509 natural numbers?

The average of the first 2509 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2509 natural numbers.

The first 2509 natural numbers are the whole numbers (integers) that start with 1 and end with 2509. To make a list of the first 2509 natural numbers, you simply count up to 2509.

To get the average of those 2509 numbers, you add them up and then divide the sum by 2509. 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 = 2509 in our formula, we get the average of the first 2509 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2509 × (2509 + 1)) ÷ 2) ÷ 2509
avg = ((2509 × 2510) ÷ 2) ÷ 2509
avg = (6297590 ÷ 2) ÷ 2509
avg = 3148795 ÷ 2509
average = 1255

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