What is the average of the first 2250 natural numbers?

The average of the first 2250 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2250 natural numbers.

The first 2250 natural numbers are the whole numbers (integers) that start with 1 and end with 2250. To make a list of the first 2250 natural numbers, you simply count up to 2250.

To get the average of those 2250 numbers, you add them up and then divide the sum by 2250. 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 = 2250 in our formula, we get the average of the first 2250 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2250 × (2250 + 1)) ÷ 2) ÷ 2250
avg = ((2250 × 2251) ÷ 2) ÷ 2250
avg = (5064750 ÷ 2) ÷ 2250
avg = 2532375 ÷ 2250
average = 1125.5

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