What is the average of the first 772 natural numbers?

The average of the first 772 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 772 natural numbers.

The first 772 natural numbers are the whole numbers (integers) that start with 1 and end with 772. To make a list of the first 772 natural numbers, you simply count up to 772.

To get the average of those 772 numbers, you add them up and then divide the sum by 772. 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 = 772 in our formula, we get the average of the first 772 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((772 × (772 + 1)) ÷ 2) ÷ 772
avg = ((772 × 773) ÷ 2) ÷ 772
avg = (596756 ÷ 2) ÷ 772
avg = 298378 ÷ 772
average = 386.5

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