The average of the first 1707 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 1707 natural numbers.

The first 1707 natural numbers are the whole numbers (integers) that start with 1 and end with 1707. To make a list of the first 1707 natural numbers, you simply count up to 1707.

To get the average of those 1707 numbers, you add them up and then divide the sum by 1707. 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 = 1707 in our formula, we get the average of the first 1707 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1707 × (1707 + 1)) ÷ 2) ÷ 1707
avg = ((1707 × 1708) ÷ 2) ÷ 1707
avg = (2915556 ÷ 2) ÷ 1707
avg = 1457778 ÷ 1707
average = 854


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