What is the average of the first 1575 natural numbers?

The average of the first 1575 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1575 natural numbers.

The first 1575 natural numbers are the whole numbers (integers) that start with 1 and end with 1575. To make a list of the first 1575 natural numbers, you simply count up to 1575.

To get the average of those 1575 numbers, you add them up and then divide the sum by 1575. 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 = 1575 in our formula, we get the average of the first 1575 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1575 × (1575 + 1)) ÷ 2) ÷ 1575
avg = ((1575 × 1576) ÷ 2) ÷ 1575
avg = (2482200 ÷ 2) ÷ 1575
avg = 1241100 ÷ 1575
average = 788

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