What is the average of the first 651 natural numbers?

The average of the first 651 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 651 natural numbers.

The first 651 natural numbers are the whole numbers (integers) that start with 1 and end with 651. To make a list of the first 651 natural numbers, you simply count up to 651.

To get the average of those 651 numbers, you add them up and then divide the sum by 651. 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 = 651 in our formula, we get the average of the first 651 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((651 × (651 + 1)) ÷ 2) ÷ 651
avg = ((651 × 652) ÷ 2) ÷ 651
avg = (424452 ÷ 2) ÷ 651
avg = 212226 ÷ 651
average = 326

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