What is the average of the first 217 natural numbers?

The average of the first 217 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 217 natural numbers.

The first 217 natural numbers are the whole numbers (integers) that start with 1 and end with 217. To make a list of the first 217 natural numbers, you simply count up to 217.

To get the average of those 217 numbers, you add them up and then divide the sum by 217. 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 = 217 in our formula, we get the average of the first 217 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((217 × (217 + 1)) ÷ 2) ÷ 217
avg = ((217 × 218) ÷ 2) ÷ 217
avg = (47306 ÷ 2) ÷ 217
avg = 23653 ÷ 217
average = 109

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