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E. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the next number. 1. 2. 3. A 883 ܠܐ ܠܐ ܐܐܠ 5. 7. ☐ ⠀⠀⠀ 2/3 ●● ..

E. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the next number. 1. 2. 3. A 883 ܠܐ ܠܐ ܐܐܠ 5. 7. ☐ ⠀⠀⠀ 2/3 ●● ..

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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4G n 8:53 C 0.30 KB/s 93 Chapter III - Rev.. / E. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the next number. 1. 田 2. 日田 3. 4. 点点 2/3 F. Solve and explain your answer. 1. Determine the nth term formula for the following polygonal numbers in the nth figure: (a) nonagonal number and (b) dodecagonal number. 2. Emmanuel is playing with his pencils. He had 13 pencils to create 6 identical rectangles. His sister Shiela borrowed one pencil. Now he needs to use 12 pencils to create 6 identical rectangles. All twelve pencils must be used. 3. A store owner wishes to pack identical soda bottles, with circular cross-section, into a square crate. Note that for any given square number of bottles - 1, 4, 9, 16, and so on - the crate can be made as small as possible by packing the bottles in a regular square array. How will the store owner fit 16 bottles into the smallest possible square crate? 4. Four Bachelor of Secondary Education classmates Aubrey, Elena, Emetita, and Gina, has different majors (English, Filipino, Mathematics, or Science). From the following clues, determine the major of each student. Elena gets home from school after the Filipino major. but before the Science major. Emelita, who is the last to get home from school, is not the English major. The Science major and Emelita leave for school at the same time. The Filipino major lives next door to Gina. ...
Transcribed Image Text:4G n 8:53 C 0.30 KB/s 93 Chapter III - Rev.. / E. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the next number. 1. 田 2. 日田 3. 4. 点点 2/3 F. Solve and explain your answer. 1. Determine the nth term formula for the following polygonal numbers in the nth figure: (a) nonagonal number and (b) dodecagonal number. 2. Emmanuel is playing with his pencils. He had 13 pencils to create 6 identical rectangles. His sister Shiela borrowed one pencil. Now he needs to use 12 pencils to create 6 identical rectangles. All twelve pencils must be used. 3. A store owner wishes to pack identical soda bottles, with circular cross-section, into a square crate. Note that for any given square number of bottles - 1, 4, 9, 16, and so on - the crate can be made as small as possible by packing the bottles in a regular square array. How will the store owner fit 16 bottles into the smallest possible square crate? 4. Four Bachelor of Secondary Education classmates Aubrey, Elena, Emetita, and Gina, has different majors (English, Filipino, Mathematics, or Science). From the following clues, determine the major of each student. Elena gets home from school after the Filipino major. but before the Science major. Emelita, who is the last to get home from school, is not the English major. The Science major and Emelita leave for school at the same time. The Filipino major lives next door to Gina. ...
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