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anonymous

  • one year ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -12 and 768, respectively. an = 3 • (-4)n + 1 an = 3 • 4n - 1 an = 3 • (-4)n - 1 an = 3 • 4n

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  1. anonymous
    • one year ago
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    As we know Un=Up.r^n-p right?

  2. misssunshinexxoxo
    • one year ago
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    Which do you believe it is?

  3. anonymous
    • one year ago
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    honestly i have no clue how to do this

  4. misssunshinexxoxo
    • one year ago
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    T(n)=T(1)r^(n-1) => T(1)r=36--------(1) T(1)r^4=2304--------(2) (2)/(1)=> r^3=2304/36=> r=4 From (1), get T(1)*4=36=> T(1)=9 => the general term T(n)=9*4^(n-1)

  5. anonymous
    • one year ago
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    Hey are you sure you have written the choices correctly ?

  6. anonymous
    • one year ago
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    can i just plug them in and see which one gives me the 2nd as -12 and the 5th as 768

  7. anonymous
    • one year ago
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    yea

  8. anonymous
    • one year ago
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    Well yea thats the only way to solve but none works

  9. anonymous
    • one year ago
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    @misssunshinexxoxo which choice would it be?

  10. misssunshinexxoxo
    • one year ago
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    My best answer would be an = 3 • (-4)n - 1 should be good for this

  11. anonymous
    • one year ago
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    Wait r=-4 and not 4

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