What is the average of the first 473 natural numbers?

The average of the first 473 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 473 natural numbers.

The first 473 natural numbers are the whole numbers (integers) that start with 1 and end with 473. To make a list of the first 473 natural numbers, you simply count up to 473.

To get the average of those 473 numbers, you add them up and then divide the sum by 473. 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 = 473 in our formula, we get the average of the first 473 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((473 × (473 + 1)) ÷ 2) ÷ 473
avg = ((473 × 474) ÷ 2) ÷ 473
avg = (224202 ÷ 2) ÷ 473
avg = 112101 ÷ 473
average = 237

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What is the average of the first 474 natural numbers?
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