What is the average of the first 1503 natural numbers?

The average of the first 1503 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1503 natural numbers.

The first 1503 natural numbers are the whole numbers (integers) that start with 1 and end with 1503. To make a list of the first 1503 natural numbers, you simply count up to 1503.

To get the average of those 1503 numbers, you add them up and then divide the sum by 1503. 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 = 1503 in our formula, we get the average of the first 1503 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1503 × (1503 + 1)) ÷ 2) ÷ 1503
avg = ((1503 × 1504) ÷ 2) ÷ 1503
avg = (2260512 ÷ 2) ÷ 1503
avg = 1130256 ÷ 1503
average = 752

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