What is the average of the first 458 natural numbers?

The average of the first 458 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 458 natural numbers.

The first 458 natural numbers are the whole numbers (integers) that start with 1 and end with 458. To make a list of the first 458 natural numbers, you simply count up to 458.

To get the average of those 458 numbers, you add them up and then divide the sum by 458. 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 = 458 in our formula, we get the average of the first 458 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((458 × (458 + 1)) ÷ 2) ÷ 458
avg = ((458 × 459) ÷ 2) ÷ 458
avg = (210222 ÷ 2) ÷ 458
avg = 105111 ÷ 458
average = 229.5

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What is the average of the first 459 natural numbers?
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