What is the average of the first 1260 natural numbers?

The average of the first 1260 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1260 natural numbers.

The first 1260 natural numbers are the whole numbers (integers) that start with 1 and end with 1260. To make a list of the first 1260 natural numbers, you simply count up to 1260.

To get the average of those 1260 numbers, you add them up and then divide the sum by 1260. 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 = 1260 in our formula, we get the average of the first 1260 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1260 × (1260 + 1)) ÷ 2) ÷ 1260
avg = ((1260 × 1261) ÷ 2) ÷ 1260
avg = (1588860 ÷ 2) ÷ 1260
avg = 794430 ÷ 1260
average = 630.5

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