The average of the first 1071 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 1071 natural numbers.

The first 1071 natural numbers are the whole numbers (integers) that start with 1 and end with 1071. To make a list of the first 1071 natural numbers, you simply count up to 1071.

To get the average of those 1071 numbers, you add them up and then divide the sum by 1071. 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 = 1071 in our formula, we get the average of the first 1071 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1071 × (1071 + 1)) ÷ 2) ÷ 1071
avg = ((1071 × 1072) ÷ 2) ÷ 1071
avg = (1148112 ÷ 2) ÷ 1071
avg = 574056 ÷ 1071
average = 536


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