What is the average of the first 352 natural numbers?

The average of the first 352 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 352 natural numbers.

The first 352 natural numbers are the whole numbers (integers) that start with 1 and end with 352. To make a list of the first 352 natural numbers, you simply count up to 352.

To get the average of those 352 numbers, you add them up and then divide the sum by 352. 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 = 352 in our formula, we get the average of the first 352 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((352 × (352 + 1)) ÷ 2) ÷ 352
avg = ((352 × 353) ÷ 2) ÷ 352
avg = (124256 ÷ 2) ÷ 352
avg = 62128 ÷ 352
average = 176.5

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What is the average of the first 353 natural numbers?
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