The average of the first 2504 natural numbers


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Here we will define and show you the formula and the math to calculate the average of the first 2504 natural numbers.

The first 2504 natural numbers are the whole numbers (integers) that start with 1 and end with 2504. To make a list of the first 2504 natural numbers, you simply count up to 2504.

To get the average of those 2504 numbers, you add them up and then divide the sum by 2504. 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 = 2504 in our formula, we get the average of the first 2504 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2504 × (2504 + 1)) ÷ 2) ÷ 2504
avg = ((2504 × 2505) ÷ 2) ÷ 2504
avg = (6272520 ÷ 2) ÷ 2504
avg = 3136260 ÷ 2504
average = 1252.5


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