What is the average of the first 1953 natural numbers?

The average of the first 1953 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1953 natural numbers.

The first 1953 natural numbers are the whole numbers (integers) that start with 1 and end with 1953. To make a list of the first 1953 natural numbers, you simply count up to 1953.

To get the average of those 1953 numbers, you add them up and then divide the sum by 1953. 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 = 1953 in our formula, we get the average of the first 1953 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1953 × (1953 + 1)) ÷ 2) ÷ 1953
avg = ((1953 × 1954) ÷ 2) ÷ 1953
avg = (3816162 ÷ 2) ÷ 1953
avg = 1908081 ÷ 1953
average = 977

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