The average of the first 374 natural numbers


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Here we will define and show you the formula and the math to calculate the average of the first 374 natural numbers.

The first 374 natural numbers are the whole numbers (integers) that start with 1 and end with 374. To make a list of the first 374 natural numbers, you simply count up to 374.

To get the average of those 374 numbers, you add them up and then divide the sum by 374. 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 = 374 in our formula, we get the average of the first 374 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((374 × (374 + 1)) ÷ 2) ÷ 374
avg = ((374 × 375) ÷ 2) ÷ 374
avg = (140250 ÷ 2) ÷ 374
avg = 70125 ÷ 374
average = 187.5


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