What is the average of the first 1737 natural numbers?

The average of the first 1737 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1737 natural numbers.

The first 1737 natural numbers are the whole numbers (integers) that start with 1 and end with 1737. To make a list of the first 1737 natural numbers, you simply count up to 1737.

To get the average of those 1737 numbers, you add them up and then divide the sum by 1737. 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 = 1737 in our formula, we get the average of the first 1737 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1737 × (1737 + 1)) ÷ 2) ÷ 1737
avg = ((1737 × 1738) ÷ 2) ÷ 1737
avg = (3018906 ÷ 2) ÷ 1737
avg = 1509453 ÷ 1737
average = 869

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