What is the average of the first 1650 natural numbers?

The average of the first 1650 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1650 natural numbers.

The first 1650 natural numbers are the whole numbers (integers) that start with 1 and end with 1650. To make a list of the first 1650 natural numbers, you simply count up to 1650.

To get the average of those 1650 numbers, you add them up and then divide the sum by 1650. 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 = 1650 in our formula, we get the average of the first 1650 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1650 × (1650 + 1)) ÷ 2) ÷ 1650
avg = ((1650 × 1651) ÷ 2) ÷ 1650
avg = (2724150 ÷ 2) ÷ 1650
avg = 1362075 ÷ 1650
average = 825.5

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