9900a Arithmetic & Geometric Seq & Series Test A

28 Questions | Total Attempts: 60

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Arithmetic Quizzes & Trivia

Chapter 9 Essentials Quiz


Questions and Answers
  • 1. 
    The 6th term of an arithmetic sequence with a = 100 and common difference d = –2.5 is :
  • 2. 
    In the first week that Sarah had her MP3 player she stored 1000 songs from her own collection. During the next week she added 100 new songs that she downloaded from the web. She continued to do this in each succeeding week. How many weeks will it be before Sarah has 5000 songs stored on her MP3 player?
  • 3. 
    Assuming the pattern continues, which one of the following is not an arithmetic sequence?
  • 4. 
    Assuming the pattern continues, which one of the following is not a geometric sequence?
  • 5. 
    The 5th term in the sequence 50, 25, 12.5, … is:
  • 6. 
    The expression for the nth term in the sequence 26, 23, 20, … is:
  • 7. 
    The first term in a sequence is 100. Each subsequent term is 15 more than the previous term. The fifth term is:
  • 8. 
    The sum of the first six terms of the geometric sequence: 5, 20, 80, … is:
  • 9. 
    The common ratio of the geometric sequence: 19683, 2187, 243, … is:
  • 10. 
    The successive terms in a geometric sequence increase in value by 4.5%. The common ratio for this geometric sequence is:
  • 11. 
    The expression for the nth term of a geometric sequence with a = 10 and r = 0.3 is:
  • 12. 
    The sum of the first five terms of the arithmetic sequence 4, 24, 44, … is:
  • 13. 
    The sum to infinity of the sequence 250, 50, 10, … is:
  • 14. 
    A geometric sequence has 1st term 384 and 4th term 6. The 6th term of this sequence is:
  • 15. 
    In an arithmetic sequence, a = 4 and d = 2.5. The first term in this sequence to exceed 100 is the term number :
  • 16. 
    In a geometric sequence, a = 4 and r = 2.5. The first term in this sequence to exceed 100 is term number :
  • 17. 
    In the first week that Sarah had her MP3 player she stored 1000 songs from her own collection. During the next week she added 100 new songs that she downloaded from the web. She continued to do this in each succeeding week. Using comma/space separated format, what are the three missing values in the table that show the number of songs stored on her MP3 player at the end of each of the first four weeks.
  • 18. 
    In the first week that Sarah had her MP3 player she stored 1000 songs from her own collection. During the next week she added 100 new songs that she downloaded from the web. She continued to do this in each succeeding week. How many songs will she have stored on her MP3 player by the end of week 6?
  • 19. 
    In the first week that Sarah had her MP3 player she stored 1000 songs from her own collection. During the next week she added 100 new songs that she downloaded from the web. She continued to do this in each succeeding week. What kind of sequence is this?
    • A. 

      Arithmetic

    • B. 

      Geometric Converging

    • C. 

      Geometric Diverging

    • D. 

      None of the above

  • 20. 
    In the first week that Sarah had her MP3 player she stored 1000 songs from her own collection. During the next week she added 100 new songs that she downloaded from the web. She continued to do this in each succeeding week. How many songs will she have stored on her MP3 player by the start of week 20?
  • 21. 
    In the first week that Sarah had her MP3 player she stored 1000 songs from her own collection. During the next week she added 100 new songs that she downloaded from the web. She continued to do this in each succeeding week. What is the expression for the number of songs stored on Sarah's MP3 player at the end of the nth week. (no spaces)
  • 22. 
    In its first year of publication 10 000 copies of a book are sold. The company predicts that its sales will decrease geometrically by 25% each year. Using comma/space separated format, what are the two missing values in the table?
  • 23. 
    In its first year of publication 10 000 copies of a book are sold. The company predicts that its sales will decrease geometrically by 25% each year. What is the value of the common ratio?
  • 24. 
    In its first year of publication 10 000 copies of a book are sold. The company predicts that its sales will decrease geometrically by 25% each year. Determine the number of books sold in the 5th year of publication
  • 25. 
    In its first year of publication 10 000 copies of a book are sold. The company predicts that its sales will decrease geometrically by 25% each year. Book sales will eventually drop below 1000. This first happens in year :
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