What is the average of the first 987 natural numbers?

The average of the first 987 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 987 natural numbers.

The first 987 natural numbers are the whole numbers (integers) that start with 1 and end with 987. To make a list of the first 987 natural numbers, you simply count up to 987.

To get the average of those 987 numbers, you add them up and then divide the sum by 987. 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 = 987 in our formula, we get the average of the first 987 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((987 × (987 + 1)) ÷ 2) ÷ 987
avg = ((987 × 988) ÷ 2) ÷ 987
avg = (975156 ÷ 2) ÷ 987
avg = 487578 ÷ 987
average = 494

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