ridgeboy36
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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Skaematik
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\[T _{n}=ar ^{n1}\]

Skaematik
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a= first term
r = ratio between consecutive terms
n = number of terms

ridgeboy36
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ok

ridgeboy36
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@yummydum

ridgeboy36
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@geoffb

ridgeboy36
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Can anybody solve this??

geoffb
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Yeah, use @Skaematik's formula. Just plug in what you know.

geoffb
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To get \(r\), what are you multiplying between each term?

ridgeboy36
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@Skaematik are you sure the formula is right i got 4,096 and i dont believe that to be correct

geoffb
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1 times what gives you 4?
4 times what gives you 16?

ridgeboy36
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4

geoffb
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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.

ridgeboy36
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ok

geoffb
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Why don't you think 4096 is correct?

ridgeboy36
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because i thought it would have came out positive to 4,096 but i got 4,096

geoffb
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4096 is correct.

ridgeboy36
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ohh thank you both of you @geoffb @Skaematik