What is the average of the first 1947 natural numbers?

The average of the first 1947 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1947 natural numbers.

The first 1947 natural numbers are the whole numbers (integers) that start with 1 and end with 1947. To make a list of the first 1947 natural numbers, you simply count up to 1947.

To get the average of those 1947 numbers, you add them up and then divide the sum by 1947. 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 = 1947 in our formula, we get the average of the first 1947 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1947 × (1947 + 1)) ÷ 2) ÷ 1947
avg = ((1947 × 1948) ÷ 2) ÷ 1947
avg = (3792756 ÷ 2) ÷ 1947
avg = 1896378 ÷ 1947
average = 974

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