What is the average of the first 1639 natural numbers?

The average of the first 1639 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1639 natural numbers.

The first 1639 natural numbers are the whole numbers (integers) that start with 1 and end with 1639. To make a list of the first 1639 natural numbers, you simply count up to 1639.

To get the average of those 1639 numbers, you add them up and then divide the sum by 1639. 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 = 1639 in our formula, we get the average of the first 1639 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1639 × (1639 + 1)) ÷ 2) ÷ 1639
avg = ((1639 × 1640) ÷ 2) ÷ 1639
avg = (2687960 ÷ 2) ÷ 1639
avg = 1343980 ÷ 1639
average = 820

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