Counting Billiard Balls and Amoebas with Patterns of Rectangular Numbers

YOGYAKARTA - Maybe you've played sodok or what is commonly called billiards. Well, did you realize that when at the beginning of the billiards game, the balls arranged form a pattern?

From the shape, you can see that the ball is made up of 5 rows and forms a triangle pattern, where the first row has 1 ball, the second row has 2 balls, the third row has 3 balls, the fourth row has 4 balls, and the fifth row has 5 balls.

Then, what if it is arranged into 10 rows, approximately how many balls are arranged? Well, this article will discuss the theme of the rectangular number pattern.

In addition, do you know about Amoeba? Amoeba is a cell that multiplies by dividing itself into 2. Suppose at the beginning there is one Amoeba, and every 15 minutes Amoeba divides into 2, then how many are the total number of Amoeba after 2 hours?

Well, to know the 2 questions, of course we must first understand the concept or formula of the pattern of the numbers. Check out the explanation below!

Pattern can be interpreted as a fixed shape or arrangement. The number contains the meaning of a unit of quantity that refers to numbers. Thus, the pattern of numbers is a fixed shape or arrangement on a number.

The pattern of square numbers will form a flat object that we call a square. The pattern of square numbers is a sequence of numbers that will form a square object. Examples of square number patterns are 1,4,9, and so on.

The pattern of square numbers has the following formula:

Un = n2

However, even though they are both square, the patterns of square and rectangular numbers have very different shapes. The pattern of rectangular numbers can be seen as a set of numbers that form a rectangular shape. Examples of the pattern of rectangular numbers are 2,6,12, and so on.

The pattern of rectangular numbers has the following formula:

Un = n(n + 1)

Example:

If you want to determine the 5th term of a rectangular number pattern, you just enter it into the formula:

n(n + 1) = 5(5 + 1) = 30.

Thus, the 5th term of the pattern of rectangular numbers is 30.

This is a review of the pattern of rectangular numbers and examples that are directly applicable to the application of the formula. Hopefully useful. Visit VOI.id for other interesting information.