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anonymous

  • one year ago

Which of the following is an arithmetic sequence? 2, 4, 8, 16, ... 12, 4, 4/3, 16/3 ... 1/2, -1/2, -3/2, -5/2 ... 1/2, -1/2, 1/2, -1/2 ...

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  1. mathstudent55
    • one year ago
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    Do you know the difference between an arithmetic sequence and a geometric sequence?

  2. anonymous
    • one year ago
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    No, I haven't learned about geometric sequence yet.

  3. mathstudent55
    • one year ago
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    In an arithmetic sequence each term minus the previous term is always the same difference. That is called the common difference.

  4. anonymous
    • one year ago
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    arithmetic sequence is A sequence made by adding the same value each time.

  5. mathstudent55
    • one year ago
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    Ok. Then we will only discuss the arithmetic sequence. Start with the second term, and subtract the first term from it. You get a difference. Then subtract the second term from the third term. Subtract the third term from the fourth term. If the difference is always the same, that is the common difference and it is an arithmetic sequence.

  6. anonymous
    • one year ago
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    Okay so how should I determine he answer?

  7. mathstudent55
    • one year ago
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    Let's start with the first choice. You need to do this to all the choices, but we'll use the first choice to do together.

  8. anonymous
    • one year ago
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    Okay.

  9. mathstudent55
    • one year ago
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    Subtract the first term from the second term: what is 4 - 2 = ?

  10. anonymous
    • one year ago
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    2

  11. mathstudent55
    • one year ago
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    Good. Now subtract the second term form the third term. What is 8 - 4 = ?

  12. anonymous
    • one year ago
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    4

  13. mathstudent55
    • one year ago
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    Good. The two differences are different. You don't have a common difference, therefore the first choice is NOT an arithmetic sequence.

  14. anonymous
    • one year ago
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    Okay.

  15. mathstudent55
    • one year ago
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    Remember, in an arithmetic, the difference between any term and the previous term is always the same.

  16. anonymous
    • one year ago
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    Okay.

  17. anonymous
    • one year ago
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    Thank you for your help!... I needed that.

  18. mathstudent55
    • one year ago
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    Now try choice B. Do the same thing. What is 4 - 12 = ?

  19. anonymous
    • one year ago
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    8

  20. anonymous
    • one year ago
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    The fractions are what gets me.

  21. mathstudent55
    • one year ago
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    Good. Then do 4/3 - 4 = ? If these two differences are not equal, it is not an arithmetic sequence.

  22. mathstudent55
    • one year ago
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    Then do the same for the other 2 choices.

  23. anonymous
    • one year ago
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    okay. Thank you!

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