SOUTHEAST ASIAN INSTITUTE OF TECHNOLOGY, INC. • GEOMETRIC PATTERNS > Geametric patterns am a mont or design that depies abatract shapes ike ines, polygons, wnd cides, typicaly repeats ihe a walpaper. Example: 1. What is te nest figure in the pattern?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Question
Exampie:
1. What is te next fiqure in the pattem?
Solution:
Looking at the given figures, he biadk square in each fgure in decreasing, so he net figure
must oriy have one biack square, thus all choices are possible. Checking the other patems,
whiln the black square is decreasing, the figare rotates in a counter ciockwise diroction, thus
the next ligure is opion B
2. What is the next figure in the pattem?
Soluton
The first pattem we coud see n the figure is that the biack and white portion of the figure is
alternating, so options A, B, and C could be the anower. The next pattern we could oboerve
in the number of nquare insides in increasing so the next figure shouid have four squares
inside The only option that wn could observe both patem is option A thus option A is the
nest pattem
• NUMBER PATTERNS
> Number paterns such as 2, 4, 4, 8,10, arn tamilir becaune it is the fist pattorns we
encounter in schoo. Mathematics is especially useul when it helps predit events How
many cookies is needed t the party was for the school instead of junt for the ciass?
> n this kind of patterns, we ouuld see a common reiationship berween umb
Example:
1. What are the rext three terms in the patern: 8, 13, 18, 23, 26. 7
Sdusion
We could observe tat the numbers an inoreaning with each term being 5 more than the
previous tem Thus, the next hree tems o the partem an, 33, 38. and 43
.
2. What in the 7 serm in te pattern: 35, 10, 12, 24, 20,?
Soluton
10
12
24
26
+2
x2
x2
+2
x2
+2
Bese from the pattem the 7erm is 52
QE 114 Matinanca t Atum Wa
Page 7 uf
SOUTHEAST ASAN INSTITUTE OF TECHNOLOGY, INC.
• GEOMETRIC PATTERNS
• Geametric patterns are a mont or design that depicts abstract shapes ihe lines polygons,
and crdes, typicaly repeats he awalpaper.
Example:
1. What is the next figure in the pattem?
B
Solution
Transcribed Image Text:Exampie: 1. What is te next fiqure in the pattem? Solution: Looking at the given figures, he biadk square in each fgure in decreasing, so he net figure must oriy have one biack square, thus all choices are possible. Checking the other patems, whiln the black square is decreasing, the figare rotates in a counter ciockwise diroction, thus the next ligure is opion B 2. What is the next figure in the pattem? Soluton The first pattem we coud see n the figure is that the biack and white portion of the figure is alternating, so options A, B, and C could be the anower. The next pattern we could oboerve in the number of nquare insides in increasing so the next figure shouid have four squares inside The only option that wn could observe both patem is option A thus option A is the nest pattem • NUMBER PATTERNS > Number paterns such as 2, 4, 4, 8,10, arn tamilir becaune it is the fist pattorns we encounter in schoo. Mathematics is especially useul when it helps predit events How many cookies is needed t the party was for the school instead of junt for the ciass? > n this kind of patterns, we ouuld see a common reiationship berween umb Example: 1. What are the rext three terms in the patern: 8, 13, 18, 23, 26. 7 Sdusion We could observe tat the numbers an inoreaning with each term being 5 more than the previous tem Thus, the next hree tems o the partem an, 33, 38. and 43 . 2. What in the 7 serm in te pattern: 35, 10, 12, 24, 20,? Soluton 10 12 24 26 +2 x2 x2 +2 x2 +2 Bese from the pattem the 7erm is 52 QE 114 Matinanca t Atum Wa Page 7 uf SOUTHEAST ASAN INSTITUTE OF TECHNOLOGY, INC. • GEOMETRIC PATTERNS • Geametric patterns are a mont or design that depicts abstract shapes ihe lines polygons, and crdes, typicaly repeats he awalpaper. Example: 1. What is the next figure in the pattem? B Solution
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