What is the average of the first 1769 natural numbers?

The average of the first 1769 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1769 natural numbers.

The first 1769 natural numbers are the whole numbers (integers) that start with 1 and end with 1769. To make a list of the first 1769 natural numbers, you simply count up to 1769.

To get the average of those 1769 numbers, you add them up and then divide the sum by 1769. 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 = 1769 in our formula, we get the average of the first 1769 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1769 × (1769 + 1)) ÷ 2) ÷ 1769
avg = ((1769 × 1770) ÷ 2) ÷ 1769
avg = (3131130 ÷ 2) ÷ 1769
avg = 1565565 ÷ 1769
average = 885

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