
Here we will define and show you the formula and the math to calculate the average of the first 1704 natural numbers.
The first 1704 natural numbers are the whole numbers (integers) that start with 1 and end with 1704. To make a list of the first 1704 natural numbers, you simply count up to 1704.
To get the average of those 1704 numbers, you add them up and then divide the sum by 1704. 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 = 1704 in our formula, we get the average of the first 1704 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1704 × (1704 + 1)) ÷ 2) ÷ 1704
avg = ((1704 × 1705) ÷ 2) ÷ 1704
avg = (2905320 ÷ 2) ÷ 1704
avg = 1452660 ÷ 1704
average = 852.5
Average of the First Natural Numbers Calculator
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