What is the average of the first 1618 natural numbers?

The average of the first 1618 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1618 natural numbers.

The first 1618 natural numbers are the whole numbers (integers) that start with 1 and end with 1618. To make a list of the first 1618 natural numbers, you simply count up to 1618.

To get the average of those 1618 numbers, you add them up and then divide the sum by 1618. 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 = 1618 in our formula, we get the average of the first 1618 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1618 × (1618 + 1)) ÷ 2) ÷ 1618
avg = ((1618 × 1619) ÷ 2) ÷ 1618
avg = (2619542 ÷ 2) ÷ 1618
avg = 1309771 ÷ 1618
average = 809.5

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