What is the average of the first 1474 natural numbers?

The average of the first 1474 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1474 natural numbers.

The first 1474 natural numbers are the whole numbers (integers) that start with 1 and end with 1474. To make a list of the first 1474 natural numbers, you simply count up to 1474.

To get the average of those 1474 numbers, you add them up and then divide the sum by 1474. 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 = 1474 in our formula, we get the average of the first 1474 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1474 × (1474 + 1)) ÷ 2) ÷ 1474
avg = ((1474 × 1475) ÷ 2) ÷ 1474
avg = (2174150 ÷ 2) ÷ 1474
avg = 1087075 ÷ 1474
average = 737.5

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