What is the average of the first 461 natural numbers?

The average of the first 461 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 461 natural numbers.

The first 461 natural numbers are the whole numbers (integers) that start with 1 and end with 461. To make a list of the first 461 natural numbers, you simply count up to 461.

To get the average of those 461 numbers, you add them up and then divide the sum by 461. 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 = 461 in our formula, we get the average of the first 461 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((461 × (461 + 1)) ÷ 2) ÷ 461
avg = ((461 × 462) ÷ 2) ÷ 461
avg = (212982 ÷ 2) ÷ 461
avg = 106491 ÷ 461
average = 231

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What is the average of the first 462 natural numbers?
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