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anonymous

  • one year ago

HELP ME Which of the following choices is the explicit formula for the following geometric sequence? -0.1, 0.04, -0.016, 0.0064, -0.00256, ... A.an = 0.1(-0.4)n-1 B.an = -0.1(0.4)n-1 C.an = 0.1(0.4)n D.an = 0.4(-0.4)n-1 E. an = -0.1(-0.4)n-1

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  1. xapproachesinfinity
    • one year ago
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    first find the common ratio 0.04/-0.1=?

  2. xapproachesinfinity
    • one year ago
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    the explicit formula for a geometric sequence is \(\Large a_n=ar^{n-1}\) a is the first term and r is the common ratio

  3. anonymous
    • one year ago
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    ok wait

  4. xapproachesinfinity
    • one year ago
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    a=-0.1

  5. xapproachesinfinity
    • one year ago
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    r=?

  6. anonymous
    • one year ago
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    0.4?

  7. xapproachesinfinity
    • one year ago
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    no

  8. anonymous
    • one year ago
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    i mean 1

  9. xapproachesinfinity
    • one year ago
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    -0.4

  10. anonymous
    • one year ago
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    ok but that next number is gonna be a positive

  11. xapproachesinfinity
    • one year ago
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    yeah and it is positive there is an oscillation of sign because of that negative

  12. anonymous
    • one year ago
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    o ok i got you

  13. xapproachesinfinity
    • one year ago
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    -0.1x-0.4=0.04 0.04x-0.4=-0.0016....

  14. xapproachesinfinity
    • one year ago
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    you continue like that to generate as many term as you like

  15. anonymous
    • one year ago
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    so its a

  16. xapproachesinfinity
    • one year ago
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    so r=-0.4

  17. xapproachesinfinity
    • one year ago
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    no A is incorrect

  18. xapproachesinfinity
    • one year ago
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    first term is -0.1 not 0.1

  19. anonymous
    • one year ago
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    ok wait

  20. anonymous
    • one year ago
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    so e

  21. xapproachesinfinity
    • one year ago
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    yes!

  22. anonymous
    • one year ago
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    thx ima tag you my next question later on

  23. xapproachesinfinity
    • one year ago
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    np:)

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