What is the average of the first 2052 natural numbers?

The average of the first 2052 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2052 natural numbers.

The first 2052 natural numbers are the whole numbers (integers) that start with 1 and end with 2052. To make a list of the first 2052 natural numbers, you simply count up to 2052.

To get the average of those 2052 numbers, you add them up and then divide the sum by 2052. 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 = 2052 in our formula, we get the average of the first 2052 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2052 × (2052 + 1)) ÷ 2) ÷ 2052
avg = ((2052 × 2053) ÷ 2) ÷ 2052
avg = (4212756 ÷ 2) ÷ 2052
avg = 2106378 ÷ 2052
average = 1026.5

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