What is the average of the first 1651 natural numbers?

The average of the first 1651 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1651 natural numbers.

The first 1651 natural numbers are the whole numbers (integers) that start with 1 and end with 1651. To make a list of the first 1651 natural numbers, you simply count up to 1651.

To get the average of those 1651 numbers, you add them up and then divide the sum by 1651. 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 = 1651 in our formula, we get the average of the first 1651 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1651 × (1651 + 1)) ÷ 2) ÷ 1651
avg = ((1651 × 1652) ÷ 2) ÷ 1651
avg = (2727452 ÷ 2) ÷ 1651
avg = 1363726 ÷ 1651
average = 826

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