What is the average of the first 1502 natural numbers?

The average of the first 1502 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1502 natural numbers.

The first 1502 natural numbers are the whole numbers (integers) that start with 1 and end with 1502. To make a list of the first 1502 natural numbers, you simply count up to 1502.

To get the average of those 1502 numbers, you add them up and then divide the sum by 1502. 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 = 1502 in our formula, we get the average of the first 1502 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1502 × (1502 + 1)) ÷ 2) ÷ 1502
avg = ((1502 × 1503) ÷ 2) ÷ 1502
avg = (2257506 ÷ 2) ÷ 1502
avg = 1128753 ÷ 1502
average = 751.5

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