What is the average of the first 1725 natural numbers?

The average of the first 1725 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1725 natural numbers.

The first 1725 natural numbers are the whole numbers (integers) that start with 1 and end with 1725. To make a list of the first 1725 natural numbers, you simply count up to 1725.

To get the average of those 1725 numbers, you add them up and then divide the sum by 1725. 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 = 1725 in our formula, we get the average of the first 1725 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1725 × (1725 + 1)) ÷ 2) ÷ 1725
avg = ((1725 × 1726) ÷ 2) ÷ 1725
avg = (2977350 ÷ 2) ÷ 1725
avg = 1488675 ÷ 1725
average = 863

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