What is the average of the first 9902 natural numbers?

The average of the first 9902 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 9902 natural numbers.

The first 9902 natural numbers are the whole numbers (integers) that start with 1 and end with 9902. To make a list of the first 9902 natural numbers, you simply count up to 9902.

To get the average of those 9902 numbers, you add them up and then divide the sum by 9902. 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 = 9902 in our formula, we get the average of the first 9902 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((9902 × (9902 + 1)) ÷ 2) ÷ 9902
avg = ((9902 × 9903) ÷ 2) ÷ 9902
avg = (98059506 ÷ 2) ÷ 9902
avg = 49029753 ÷ 9902
average = 4951.5

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