What is the average of the first 475 natural numbers?

The average of the first 475 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 475 natural numbers.

The first 475 natural numbers are the whole numbers (integers) that start with 1 and end with 475. To make a list of the first 475 natural numbers, you simply count up to 475.

To get the average of those 475 numbers, you add them up and then divide the sum by 475. 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 = 475 in our formula, we get the average of the first 475 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((475 × (475 + 1)) ÷ 2) ÷ 475
avg = ((475 × 476) ÷ 2) ÷ 475
avg = (226100 ÷ 2) ÷ 475
avg = 113050 ÷ 475
average = 238

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What is the average of the first 476 natural numbers?
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