What is the average of the first 490 natural numbers?

The average of the first 490 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 490 natural numbers.

The first 490 natural numbers are the whole numbers (integers) that start with 1 and end with 490. To make a list of the first 490 natural numbers, you simply count up to 490.

To get the average of those 490 numbers, you add them up and then divide the sum by 490. 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 = 490 in our formula, we get the average of the first 490 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((490 × (490 + 1)) ÷ 2) ÷ 490
avg = ((490 × 491) ÷ 2) ÷ 490
avg = (240590 ÷ 2) ÷ 490
avg = 120295 ÷ 490
average = 245.5

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What is the average of the first 491 natural numbers?
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