
Here we will define and show you the formula and the math to calculate the average of the first 1531 natural numbers.
The first 1531 natural numbers are the whole numbers (integers) that start with 1 and end with 1531. To make a list of the first 1531 natural numbers, you simply count up to 1531.
To get the average of those 1531 numbers, you add them up and then divide the sum by 1531. 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 = 1531 in our formula, we get the average of the first 1531 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1531 × (1531 + 1)) ÷ 2) ÷ 1531
avg = ((1531 × 1532) ÷ 2) ÷ 1531
avg = (2345492 ÷ 2) ÷ 1531
avg = 1172746 ÷ 1531
average = 766
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