What is the average of the first 1596 natural numbers?

The average of the first 1596 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1596 natural numbers.

The first 1596 natural numbers are the whole numbers (integers) that start with 1 and end with 1596. To make a list of the first 1596 natural numbers, you simply count up to 1596.

To get the average of those 1596 numbers, you add them up and then divide the sum by 1596. 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 = 1596 in our formula, we get the average of the first 1596 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1596 × (1596 + 1)) ÷ 2) ÷ 1596
avg = ((1596 × 1597) ÷ 2) ÷ 1596
avg = (2548812 ÷ 2) ÷ 1596
avg = 1274406 ÷ 1596
average = 798.5

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