What is the average of the first 1501 natural numbers?

The average of the first 1501 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1501 natural numbers.

The first 1501 natural numbers are the whole numbers (integers) that start with 1 and end with 1501. To make a list of the first 1501 natural numbers, you simply count up to 1501.

To get the average of those 1501 numbers, you add them up and then divide the sum by 1501. 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 = 1501 in our formula, we get the average of the first 1501 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1501 × (1501 + 1)) ÷ 2) ÷ 1501
avg = ((1501 × 1502) ÷ 2) ÷ 1501
avg = (2254502 ÷ 2) ÷ 1501
avg = 1127251 ÷ 1501
average = 751

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