What is the average of the first 1826 natural numbers?

The average of the first 1826 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1826 natural numbers.

The first 1826 natural numbers are the whole numbers (integers) that start with 1 and end with 1826. To make a list of the first 1826 natural numbers, you simply count up to 1826.

To get the average of those 1826 numbers, you add them up and then divide the sum by 1826. 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 = 1826 in our formula, we get the average of the first 1826 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1826 × (1826 + 1)) ÷ 2) ÷ 1826
avg = ((1826 × 1827) ÷ 2) ÷ 1826
avg = (3336102 ÷ 2) ÷ 1826
avg = 1668051 ÷ 1826
average = 913.5

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