What is the average of the first 3375 natural numbers?

The average of the first 3375 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 3375 natural numbers.

The first 3375 natural numbers are the whole numbers (integers) that start with 1 and end with 3375. To make a list of the first 3375 natural numbers, you simply count up to 3375.

To get the average of those 3375 numbers, you add them up and then divide the sum by 3375. 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 = 3375 in our formula, we get the average of the first 3375 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((3375 × (3375 + 1)) ÷ 2) ÷ 3375
avg = ((3375 × 3376) ÷ 2) ÷ 3375
avg = (11394000 ÷ 2) ÷ 3375
avg = 5697000 ÷ 3375
average = 1688

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