What is the average of the first 9708 natural numbers?

The average of the first 9708 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 9708 natural numbers.

The first 9708 natural numbers are the whole numbers (integers) that start with 1 and end with 9708. To make a list of the first 9708 natural numbers, you simply count up to 9708.

To get the average of those 9708 numbers, you add them up and then divide the sum by 9708. 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 = 9708 in our formula, we get the average of the first 9708 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((9708 × (9708 + 1)) ÷ 2) ÷ 9708
avg = ((9708 × 9709) ÷ 2) ÷ 9708
avg = (94254972 ÷ 2) ÷ 9708
avg = 47127486 ÷ 9708
average = 4854.5

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