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ACTIVITY 3: What is missing? Find the missing terms in each arithmetic sequence. 1) 3, 12, 21,30A 48 2) 8, 3,-2,1-1217 3) 5, 12, 14, 26, 33 4) 2, 20, 29, 5) 4, 10, 16, 6) 17, 14, 7) 4, 8) 9) -1, 31, 39 10) 13, 19, 24, ... 8, 12, 16 --11,-17 ACTIVITY 5: More on Arithmetic Sequences Use the nth term of an arithmetic sequence a, = a, + (n - 1)d t 1) Find the 25th term of the arithmetic sequence 3, 7, 11, 1 21 The second term of an arithmetic sequence is 24 and th 3) Give the arithmetic sequence of 5 terms if the first term 4) Find the 9h term of the arithmetic sequence with a, = 5) Find a, if a = 54 and a, = 60. 6) How many terms are there in an arithmetic sequence w respectively? 7) Which term of the arithmetic sequence is -18, given tha 8) How many terms are in an arithmetic sequence whose f 9) Find the common difference of the arithmetic sequence WHAT TO REFLECT ON AND UNDERSTAND ACTIVITY 6: Beyond the Basics Do each of the following 1) It is alarming that many people now are being infected ba invited people to give a five-day series of talks on HIV am p.m. in the auditorium. On the first day, 20 students cam other students and 10 more students came on the secons a) Assuming that the number of participants conti number of participants from day 1 of the talk un b) Represent the data in the table using a formula. ci You feel that there is still a need to extend the se the pattern continues where there are 10 additi talk on HIV? 2) After a knee surgery, your trainer tells you to return to y for the first week. Each week, thereafter, he suggests that

ACTIVITY 3: What is missing? Find the missing terms in each arithmetic sequence. 1) 3, 12, 21,30A 48 2) 8, 3,-2,1-1217 3) 5, 12, 14, 26, 33 4) 2, 20, 29, 5) 4, 10, 16, 6) 17, 14, 7) 4, 8) 9) -1, 31, 39 10) 13, 19, 24, ... 8, 12, 16 --11,-17 ACTIVITY 5: More on Arithmetic Sequences Use the nth term of an arithmetic sequence a, = a, + (n - 1)d t 1) Find the 25th term of the arithmetic sequence 3, 7, 11, 1 21 The second term of an arithmetic sequence is 24 and th 3) Give the arithmetic sequence of 5 terms if the first term 4) Find the 9h term of the arithmetic sequence with a, = 5) Find a, if a = 54 and a, = 60. 6) How many terms are there in an arithmetic sequence w respectively? 7) Which term of the arithmetic sequence is -18, given tha 8) How many terms are in an arithmetic sequence whose f 9) Find the common difference of the arithmetic sequence WHAT TO REFLECT ON AND UNDERSTAND ACTIVITY 6: Beyond the Basics Do each of the following 1) It is alarming that many people now are being infected ba invited people to give a five-day series of talks on HIV am p.m. in the auditorium. On the first day, 20 students cam other students and 10 more students came on the secons a) Assuming that the number of participants conti number of participants from day 1 of the talk un b) Represent the data in the table using a formula. ci You feel that there is still a need to extend the se the pattern continues where there are 10 additi talk on HIV? 2) After a knee surgery, your trainer tells you to return to y for the first week. Each week, thereafter, he suggests that

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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DEEPEN ACTIVITY 3: What is missing? ACTIVITY 4: How well do you know me? Find the missing terms in each arithmetic sequence. 1) 3, 12, 21,309 48 2) 8,3,-2,1-12, 17 3) 5, 12, 19, 26, 33 4) 2, 20, 29, 5) 4, 10, 16, 6) 17, 14,. 7) 4, 19, 24, ... 8) 9) -1,. 10) 13, Determine if the given sequence is arithmetic or not. Write your answer in the space provided. 1) 3,7,11, 15, 19 2) 4, 16, 64, 256 3) 48, 24, 12, 6, 3, .. 4) 1,4,9, 16, 25, 336 5) 1,금,0,- 6) -2,4, -8,16, .. 8, 12, 16 ,31, 39 -11, -17 7) 1,0, -1, -2, -3 1111 8) 10) 9.5, 7.5, 5.5, 3.5, .. ACTIVITY 5: More on Arithmetic Sequences Use the nth term of an arithmetic sequence a, = a, + (n – 1)d to answer the following questions. 1) Find the 25th term of the arithmetic sequence 3, 7, 11, 15, 19, .. 2) The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference. 3) Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100. 4) Find the 9th term of the arithmetic sequence with a, = 10 and d = 5) Find a, if a, = 54 and a, = 60. 6) How many terms are there in an arithmetic sequence with a common difference of 4 and with first and last terms 3 and 59. respectively? 7) Which term of the arithmetic sequence is -18, given that a = 7 and az = 2? 8) How many terms are in an arithmetic sequence whose first term is -3, common difference is 2, and last term is 23? 9) Find the common difference of the arithmetic sequence with a, = 10 and a, = 45. WHAT TO REFLECT ON AND UNDERSTAND ACTIVITY 6: Beyond the Basics Do each of the following; 1) It is alarming that many people now are being infected by HIV. As the president of the student body in your school, you invited people to give a five-day series of talks on HIV and its prevention every first Friday of the month from 12 noon to 1 p.m. in the auditorium. On the first day, 20 students came. Finding the talk interesting, these 20 students shared the talk to other students and 10 more students came on the second day, another 10 more students came on the third day, and so on. a) Assuming that the number of participants continues to increase in the same manner, make a table representing the number of participants from day 1 of the talk until day 5. b) Represent the data in the table using a formula. Use the formula to justify your data in the table. c) You feel that there is still a need to extend the series of talks, so you decided to continue it for three more days. If the pattern continues where there are 10 additional students for each talk, how many students in all attended the talk on HIV? 2) After a knee surgery, your trainer tells you to return to your jogging program slowly. He suggests for 12 minutes each day for the first week. Each week, thereafter, he suggests that you increase that time by 6 minutes per day. On what week will it be before you are up to jogging 60 minutes per day?
Transcribed Image Text:DEEPEN ACTIVITY 3: What is missing? ACTIVITY 4: How well do you know me? Find the missing terms in each arithmetic sequence. 1) 3, 12, 21,309 48 2) 8,3,-2,1-12, 17 3) 5, 12, 19, 26, 33 4) 2, 20, 29, 5) 4, 10, 16, 6) 17, 14,. 7) 4, 19, 24, ... 8) 9) -1,. 10) 13, Determine if the given sequence is arithmetic or not. Write your answer in the space provided. 1) 3,7,11, 15, 19 2) 4, 16, 64, 256 3) 48, 24, 12, 6, 3, .. 4) 1,4,9, 16, 25, 336 5) 1,금,0,- 6) -2,4, -8,16, .. 8, 12, 16 ,31, 39 -11, -17 7) 1,0, -1, -2, -3 1111 8) 10) 9.5, 7.5, 5.5, 3.5, .. ACTIVITY 5: More on Arithmetic Sequences Use the nth term of an arithmetic sequence a, = a, + (n – 1)d to answer the following questions. 1) Find the 25th term of the arithmetic sequence 3, 7, 11, 15, 19, .. 2) The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference. 3) Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100. 4) Find the 9th term of the arithmetic sequence with a, = 10 and d = 5) Find a, if a, = 54 and a, = 60. 6) How many terms are there in an arithmetic sequence with a common difference of 4 and with first and last terms 3 and 59. respectively? 7) Which term of the arithmetic sequence is -18, given that a = 7 and az = 2? 8) How many terms are in an arithmetic sequence whose first term is -3, common difference is 2, and last term is 23? 9) Find the common difference of the arithmetic sequence with a, = 10 and a, = 45. WHAT TO REFLECT ON AND UNDERSTAND ACTIVITY 6: Beyond the Basics Do each of the following; 1) It is alarming that many people now are being infected by HIV. As the president of the student body in your school, you invited people to give a five-day series of talks on HIV and its prevention every first Friday of the month from 12 noon to 1 p.m. in the auditorium. On the first day, 20 students came. Finding the talk interesting, these 20 students shared the talk to other students and 10 more students came on the second day, another 10 more students came on the third day, and so on. a) Assuming that the number of participants continues to increase in the same manner, make a table representing the number of participants from day 1 of the talk until day 5. b) Represent the data in the table using a formula. Use the formula to justify your data in the table. c) You feel that there is still a need to extend the series of talks, so you decided to continue it for three more days. If the pattern continues where there are 10 additional students for each talk, how many students in all attended the talk on HIV? 2) After a knee surgery, your trainer tells you to return to your jogging program slowly. He suggests for 12 minutes each day for the first week. Each week, thereafter, he suggests that you increase that time by 6 minutes per day. On what week will it be before you are up to jogging 60 minutes per day?
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