What is the average of the first 2272 natural numbers?

The average of the first 2272 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2272 natural numbers.

The first 2272 natural numbers are the whole numbers (integers) that start with 1 and end with 2272. To make a list of the first 2272 natural numbers, you simply count up to 2272.

To get the average of those 2272 numbers, you add them up and then divide the sum by 2272. 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 = 2272 in our formula, we get the average of the first 2272 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2272 × (2272 + 1)) ÷ 2) ÷ 2272
avg = ((2272 × 2273) ÷ 2) ÷ 2272
avg = (5164256 ÷ 2) ÷ 2272
avg = 2582128 ÷ 2272
average = 1136.5

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