What is the average of the first 1632 natural numbers?

The average of the first 1632 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1632 natural numbers.

The first 1632 natural numbers are the whole numbers (integers) that start with 1 and end with 1632. To make a list of the first 1632 natural numbers, you simply count up to 1632.

To get the average of those 1632 numbers, you add them up and then divide the sum by 1632. 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 = 1632 in our formula, we get the average of the first 1632 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1632 × (1632 + 1)) ÷ 2) ÷ 1632
avg = ((1632 × 1633) ÷ 2) ÷ 1632
avg = (2665056 ÷ 2) ÷ 1632
avg = 1332528 ÷ 1632
average = 816.5

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