
Here we will define and show you the formula and the math to calculate the average of the first 679 natural numbers.
The first 679 natural numbers are the whole numbers (integers) that start with 1 and end with 679. To make a list of the first 679 natural numbers, you simply count up to 679.
To get the average of those 679 numbers, you add them up and then divide the sum by 679. 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 = 679 in our formula, we get the average of the first 679 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((679 × (679 + 1)) ÷ 2) ÷ 679
avg = ((679 × 680) ÷ 2) ÷ 679
avg = (461720 ÷ 2) ÷ 679
avg = 230860 ÷ 679
average = 340
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