What is the average of the first 1688 natural numbers?

The average of the first 1688 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1688 natural numbers.

The first 1688 natural numbers are the whole numbers (integers) that start with 1 and end with 1688. To make a list of the first 1688 natural numbers, you simply count up to 1688.

To get the average of those 1688 numbers, you add them up and then divide the sum by 1688. 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 = 1688 in our formula, we get the average of the first 1688 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1688 × (1688 + 1)) ÷ 2) ÷ 1688
avg = ((1688 × 1689) ÷ 2) ÷ 1688
avg = (2851032 ÷ 2) ÷ 1688
avg = 1425516 ÷ 1688
average = 844.5

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