What is the average of the first 6037 natural numbers?

The average of the first 6037 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 6037 natural numbers.

The first 6037 natural numbers are the whole numbers (integers) that start with 1 and end with 6037. To make a list of the first 6037 natural numbers, you simply count up to 6037.

To get the average of those 6037 numbers, you add them up and then divide the sum by 6037. 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 = 6037 in our formula, we get the average of the first 6037 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((6037 × (6037 + 1)) ÷ 2) ÷ 6037
avg = ((6037 × 6038) ÷ 2) ÷ 6037
avg = (36451406 ÷ 2) ÷ 6037
avg = 18225703 ÷ 6037
average = 3019

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