What is the average of the first 470 natural numbers?

The average of the first 470 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 470 natural numbers.

The first 470 natural numbers are the whole numbers (integers) that start with 1 and end with 470. To make a list of the first 470 natural numbers, you simply count up to 470.

To get the average of those 470 numbers, you add them up and then divide the sum by 470. 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 = 470 in our formula, we get the average of the first 470 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((470 × (470 + 1)) ÷ 2) ÷ 470
avg = ((470 × 471) ÷ 2) ÷ 470
avg = (221370 ÷ 2) ÷ 470
avg = 110685 ÷ 470
average = 235.5

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