The average of the first 1621 natural numbers


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Here we will define and show you the formula and the math to calculate the average of the first 1621 natural numbers.

The first 1621 natural numbers are the whole numbers (integers) that start with 1 and end with 1621. To make a list of the first 1621 natural numbers, you simply count up to 1621.

To get the average of those 1621 numbers, you add them up and then divide the sum by 1621. 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 = 1621 in our formula, we get the average of the first 1621 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1621 × (1621 + 1)) ÷ 2) ÷ 1621
avg = ((1621 × 1622) ÷ 2) ÷ 1621
avg = (2629262 ÷ 2) ÷ 1621
avg = 1314631 ÷ 1621
average = 811


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