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In a sequence of numbers, every number, except for the first one, is f

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Carcass
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In a sequence of numbers, every number, except for the first one, is f [#permalink] New post   11 Aug 2022, 09:47
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In a sequence of numbers, every number, except for the first one, is four times the square of a previous number. If the first number in the sequence is T, which of the following represents the value in terms of T, of the third number after the first number?

A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)


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Re: In a sequence of numbers, every number, except for the first one, is f [#permalink] New post   13 Aug 2022, 07:35
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Carcass wrote:
In a sequence of numbers, every number, except for the first one, is four times the square of a previous number. If the first number in the sequence is T, which of the following represents the value in terms of T, of the third number after the first number?

A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)




Each term = 4(previous term squared)

term1 = T
term2 = 4(T²) = 4T²
term3 = 4[(4T²)²] = 4(4²T⁴) = 4³T⁴
term4 = 4[(4³T⁴)²] = 4(4⁶T⁸) = 4⁷T⁸

Answer: D
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Re: In a sequence of numbers, every number, except for the first one, is f [#permalink]
13 Aug 2022, 07:35
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