The average of the first 1717 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 1717 natural numbers.

The first 1717 natural numbers are the whole numbers (integers) that start with 1 and end with 1717. To make a list of the first 1717 natural numbers, you simply count up to 1717.

To get the average of those 1717 numbers, you add them up and then divide the sum by 1717. 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 = 1717 in our formula, we get the average of the first 1717 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1717 × (1717 + 1)) ÷ 2) ÷ 1717
avg = ((1717 × 1718) ÷ 2) ÷ 1717
avg = (2949806 ÷ 2) ÷ 1717
avg = 1474903 ÷ 1717
average = 859


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