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ridgeboy36

  • 3 years ago

what is the 7th term of the geometric sequence -1,4,-16,...? Answers to choose from. a)-16,384 b)-4,096 c)4,096 d)16,384

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  1. Skaematik
    • 3 years ago
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    \[T _{n}=ar ^{n-1}\]

  2. Skaematik
    • 3 years ago
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    a= first term r = ratio between consecutive terms n = number of terms

  3. ridgeboy36
    • 3 years ago
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    ok

  4. ridgeboy36
    • 3 years ago
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    @yummydum

  5. ridgeboy36
    • 3 years ago
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    @geoffb

  6. ridgeboy36
    • 3 years ago
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    Can anybody solve this??

  7. geoffb
    • 3 years ago
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    Yeah, use @Skaematik's formula. Just plug in what you know.

  8. geoffb
    • 3 years ago
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    To get \(r\), what are you multiplying between each term?

  9. ridgeboy36
    • 3 years ago
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    @Skaematik are you sure the formula is right i got -4,096 and i dont believe that to be correct

  10. geoffb
    • 3 years ago
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    -1 times what gives you 4? 4 times what gives you -16?

  11. ridgeboy36
    • 3 years ago
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    -4

  12. geoffb
    • 3 years ago
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    Well, the first thing to check is that it's negative. Since it's odd, and your odd terms are negative, it makes sense that it, too, is negative.

  13. ridgeboy36
    • 3 years ago
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    ok

  14. geoffb
    • 3 years ago
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    Why don't you think -4096 is correct?

  15. ridgeboy36
    • 3 years ago
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    because i thought it would have came out positive to 4,096 but i got -4,096

  16. geoffb
    • 3 years ago
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    -4096 is correct.

  17. ridgeboy36
    • 3 years ago
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    ohh thank you both of you @geoffb @Skaematik

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