What is the average of the first 3707 natural numbers?

The average of the first 3707 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 3707 natural numbers.

The first 3707 natural numbers are the whole numbers (integers) that start with 1 and end with 3707. To make a list of the first 3707 natural numbers, you simply count up to 3707.

To get the average of those 3707 numbers, you add them up and then divide the sum by 3707. 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 = 3707 in our formula, we get the average of the first 3707 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((3707 × (3707 + 1)) ÷ 2) ÷ 3707
avg = ((3707 × 3708) ÷ 2) ÷ 3707
avg = (13745556 ÷ 2) ÷ 3707
avg = 6872778 ÷ 3707
average = 1854

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