What is the average of the first 2085 natural numbers?

The average of the first 2085 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2085 natural numbers.

The first 2085 natural numbers are the whole numbers (integers) that start with 1 and end with 2085. To make a list of the first 2085 natural numbers, you simply count up to 2085.

To get the average of those 2085 numbers, you add them up and then divide the sum by 2085. 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 = 2085 in our formula, we get the average of the first 2085 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2085 × (2085 + 1)) ÷ 2) ÷ 2085
avg = ((2085 × 2086) ÷ 2) ÷ 2085
avg = (4349310 ÷ 2) ÷ 2085
avg = 2174655 ÷ 2085
average = 1043

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