What is the average of the first 3329 natural numbers?

The average of the first 3329 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 3329 natural numbers.

The first 3329 natural numbers are the whole numbers (integers) that start with 1 and end with 3329. To make a list of the first 3329 natural numbers, you simply count up to 3329.

To get the average of those 3329 numbers, you add them up and then divide the sum by 3329. 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 = 3329 in our formula, we get the average of the first 3329 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((3329 × (3329 + 1)) ÷ 2) ÷ 3329
avg = ((3329 × 3330) ÷ 2) ÷ 3329
avg = (11085570 ÷ 2) ÷ 3329
avg = 5542785 ÷ 3329
average = 1665

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