What is the average of the first 738 natural numbers?

The average of the first 738 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 738 natural numbers.

The first 738 natural numbers are the whole numbers (integers) that start with 1 and end with 738. To make a list of the first 738 natural numbers, you simply count up to 738.

To get the average of those 738 numbers, you add them up and then divide the sum by 738. 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 = 738 in our formula, we get the average of the first 738 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((738 × (738 + 1)) ÷ 2) ÷ 738
avg = ((738 × 739) ÷ 2) ÷ 738
avg = (545382 ÷ 2) ÷ 738
avg = 272691 ÷ 738
average = 369.5

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