What is the average of the first 1006 natural numbers?

The average of the first 1006 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1006 natural numbers.

The first 1006 natural numbers are the whole numbers (integers) that start with 1 and end with 1006. To make a list of the first 1006 natural numbers, you simply count up to 1006.

To get the average of those 1006 numbers, you add them up and then divide the sum by 1006. 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 = 1006 in our formula, we get the average of the first 1006 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1006 × (1006 + 1)) ÷ 2) ÷ 1006
avg = ((1006 × 1007) ÷ 2) ÷ 1006
avg = (1013042 ÷ 2) ÷ 1006
avg = 506521 ÷ 1006
average = 503.5

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