
Here we will define and show you the formula and the math to calculate the average of the first 466 natural numbers.
The first 466 natural numbers are the whole numbers (integers) that start with 1 and end with 466. To make a list of the first 466 natural numbers, you simply count up to 466.
To get the average of those 466 numbers, you add them up and then divide the sum by 466. 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 = 466 in our formula, we get the average of the first 466 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((466 × (466 + 1)) ÷ 2) ÷ 466
avg = ((466 × 467) ÷ 2) ÷ 466
avg = (217622 ÷ 2) ÷ 466
avg = 108811 ÷ 466
average = 233.5
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