What is the average of the first 258 natural numbers?

The average of the first 258 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 258 natural numbers.

The first 258 natural numbers are the whole numbers (integers) that start with 1 and end with 258. To make a list of the first 258 natural numbers, you simply count up to 258.

To get the average of those 258 numbers, you add them up and then divide the sum by 258. 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 = 258 in our formula, we get the average of the first 258 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((258 × (258 + 1)) ÷ 2) ÷ 258
avg = ((258 × 259) ÷ 2) ÷ 258
avg = (66822 ÷ 2) ÷ 258
avg = 33411 ÷ 258
average = 129.5

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