What is the average of the first 6500 natural numbers?

The average of the first 6500 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 6500 natural numbers.

The first 6500 natural numbers are the whole numbers (integers) that start with 1 and end with 6500. To make a list of the first 6500 natural numbers, you simply count up to 6500.

To get the average of those 6500 numbers, you add them up and then divide the sum by 6500. 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 = 6500 in our formula, we get the average of the first 6500 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((6500 × (6500 + 1)) ÷ 2) ÷ 6500
avg = ((6500 × 6501) ÷ 2) ÷ 6500
avg = (42256500 ÷ 2) ÷ 6500
avg = 21128250 ÷ 6500
average = 3250.5

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