What is the average of the first 1779 natural numbers?

The average of the first 1779 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1779 natural numbers.

The first 1779 natural numbers are the whole numbers (integers) that start with 1 and end with 1779. To make a list of the first 1779 natural numbers, you simply count up to 1779.

To get the average of those 1779 numbers, you add them up and then divide the sum by 1779. 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 = 1779 in our formula, we get the average of the first 1779 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1779 × (1779 + 1)) ÷ 2) ÷ 1779
avg = ((1779 × 1780) ÷ 2) ÷ 1779
avg = (3166620 ÷ 2) ÷ 1779
avg = 1583310 ÷ 1779
average = 890

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