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quired next three terms are 4. 3, 4, 7, 8, 11, ... 5. 1,8, 27, 64, 125, 216, 343, 512, 729.....

quired next three terms are 4. 3, 4, 7, 8, 11, ... 5. 1,8, 27, 64, 125, 216, 343, 512, 729.....

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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ACTIVITY 2 Sequences and Patterns 1. Write the next three terms for the given sequences and patterns. 1. 1, 2, 4, 8, 16, ... Solution: Given sequence is 1, 2, 4, 8, 16, ... The following pattern is observed. 1x2=2 2x2= 4 4x2=8 8x2= 16 The next three terms are- 16 x 2= 32 32 x 2= 64 64x 2= 128 Required next three terms are- 32, 62, 128 1, 1, 2, 3, 5, 8, 13, 21, 34, ... 2. Solution: Given sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34,... The following pattern is observed. 1+1=2 2+1=3 3+2=5 5+3=8 The next three terms are 34+ 21 55 55+34= 89 89+55= 144 Required next three terms are 4, 10, 16, 22, 28, ... 3. Solution: Given sequence is The following pattern is observed. 4 + 6 = 10 10+ 6 = 16 16+6 = 22 22+6 = 28 The next three terms are 28 + 6 = 34 34 + 6 = 40 40+ 6 = 46 55,89,144 4, 10, 16, 22, 28.... quired next three terms are 4. 3, 4, 7, 8, 11, ... 5. 1, 8, 27, 64, 125, 216, 343, 512, 729, ... ||
Transcribed Image Text:ACTIVITY 2 Sequences and Patterns 1. Write the next three terms for the given sequences and patterns. 1. 1, 2, 4, 8, 16, ... Solution: Given sequence is 1, 2, 4, 8, 16, ... The following pattern is observed. 1x2=2 2x2= 4 4x2=8 8x2= 16 The next three terms are- 16 x 2= 32 32 x 2= 64 64x 2= 128 Required next three terms are- 32, 62, 128 1, 1, 2, 3, 5, 8, 13, 21, 34, ... 2. Solution: Given sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34,... The following pattern is observed. 1+1=2 2+1=3 3+2=5 5+3=8 The next three terms are 34+ 21 55 55+34= 89 89+55= 144 Required next three terms are 4, 10, 16, 22, 28, ... 3. Solution: Given sequence is The following pattern is observed. 4 + 6 = 10 10+ 6 = 16 16+6 = 22 22+6 = 28 The next three terms are 28 + 6 = 34 34 + 6 = 40 40+ 6 = 46 55,89,144 4, 10, 16, 22, 28.... quired next three terms are 4. 3, 4, 7, 8, 11, ... 5. 1, 8, 27, 64, 125, 216, 343, 512, 729, ... ||
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