What is the average of the first 1586 natural numbers?

The average of the first 1586 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1586 natural numbers.

The first 1586 natural numbers are the whole numbers (integers) that start with 1 and end with 1586. To make a list of the first 1586 natural numbers, you simply count up to 1586.

To get the average of those 1586 numbers, you add them up and then divide the sum by 1586. 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 = 1586 in our formula, we get the average of the first 1586 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1586 × (1586 + 1)) ÷ 2) ÷ 1586
avg = ((1586 × 1587) ÷ 2) ÷ 1586
avg = (2516982 ÷ 2) ÷ 1586
avg = 1258491 ÷ 1586
average = 793.5

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