What is the average of the first 346 natural numbers?

The average of the first 346 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 346 natural numbers.

The first 346 natural numbers are the whole numbers (integers) that start with 1 and end with 346. To make a list of the first 346 natural numbers, you simply count up to 346.

To get the average of those 346 numbers, you add them up and then divide the sum by 346. 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 = 346 in our formula, we get the average of the first 346 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((346 × (346 + 1)) ÷ 2) ÷ 346
avg = ((346 × 347) ÷ 2) ÷ 346
avg = (120062 ÷ 2) ÷ 346
avg = 60031 ÷ 346
average = 173.5

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What is the average of the first 347 natural numbers?
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