What is the average of the first 613 natural numbers?

The average of the first 613 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 613 natural numbers.

The first 613 natural numbers are the whole numbers (integers) that start with 1 and end with 613. To make a list of the first 613 natural numbers, you simply count up to 613.

To get the average of those 613 numbers, you add them up and then divide the sum by 613. 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 = 613 in our formula, we get the average of the first 613 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((613 × (613 + 1)) ÷ 2) ÷ 613
avg = ((613 × 614) ÷ 2) ÷ 613
avg = (376382 ÷ 2) ÷ 613
avg = 188191 ÷ 613
average = 307

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