What is the average of the first 2243 natural numbers?

The average of the first 2243 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2243 natural numbers.

The first 2243 natural numbers are the whole numbers (integers) that start with 1 and end with 2243. To make a list of the first 2243 natural numbers, you simply count up to 2243.

To get the average of those 2243 numbers, you add them up and then divide the sum by 2243. 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 = 2243 in our formula, we get the average of the first 2243 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2243 × (2243 + 1)) ÷ 2) ÷ 2243
avg = ((2243 × 2244) ÷ 2) ÷ 2243
avg = (5033292 ÷ 2) ÷ 2243
avg = 2516646 ÷ 2243
average = 1122

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