What is the average of the first 1010 natural numbers?

The average of the first 1010 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1010 natural numbers.

The first 1010 natural numbers are the whole numbers (integers) that start with 1 and end with 1010. To make a list of the first 1010 natural numbers, you simply count up to 1010.

To get the average of those 1010 numbers, you add them up and then divide the sum by 1010. 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 = 1010 in our formula, we get the average of the first 1010 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1010 × (1010 + 1)) ÷ 2) ÷ 1010
avg = ((1010 × 1011) ÷ 2) ÷ 1010
avg = (1021110 ÷ 2) ÷ 1010
avg = 510555 ÷ 1010
average = 505.5

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