What is the average of the first 493 natural numbers?

The average of the first 493 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 493 natural numbers.

The first 493 natural numbers are the whole numbers (integers) that start with 1 and end with 493. To make a list of the first 493 natural numbers, you simply count up to 493.

To get the average of those 493 numbers, you add them up and then divide the sum by 493. 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 = 493 in our formula, we get the average of the first 493 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((493 × (493 + 1)) ÷ 2) ÷ 493
avg = ((493 × 494) ÷ 2) ÷ 493
avg = (243542 ÷ 2) ÷ 493
avg = 121771 ÷ 493
average = 247

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What is the average of the first 494 natural numbers?
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