What is the average of the first 1598 natural numbers?

The average of the first 1598 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1598 natural numbers.

The first 1598 natural numbers are the whole numbers (integers) that start with 1 and end with 1598. To make a list of the first 1598 natural numbers, you simply count up to 1598.

To get the average of those 1598 numbers, you add them up and then divide the sum by 1598. 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 = 1598 in our formula, we get the average of the first 1598 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1598 × (1598 + 1)) ÷ 2) ÷ 1598
avg = ((1598 × 1599) ÷ 2) ÷ 1598
avg = (2555202 ÷ 2) ÷ 1598
avg = 1277601 ÷ 1598
average = 799.5

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