What is the average of the first 477 natural numbers?

The average of the first 477 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 477 natural numbers.

The first 477 natural numbers are the whole numbers (integers) that start with 1 and end with 477. To make a list of the first 477 natural numbers, you simply count up to 477.

To get the average of those 477 numbers, you add them up and then divide the sum by 477. 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 = 477 in our formula, we get the average of the first 477 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((477 × (477 + 1)) ÷ 2) ÷ 477
avg = ((477 × 478) ÷ 2) ÷ 477
avg = (228006 ÷ 2) ÷ 477
avg = 114003 ÷ 477
average = 239

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