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14 Oct 2015, 12:02
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
61% (01:49) correct
39%
(01:36)
wrong
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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. \(4^8T^8\)
Can anyone please show the workings to get to the OA? I don't get it. Thank you
A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)
Can anyone please show the workings to get to the OA? I don't get it. Thank you
14 Oct 2015, 12:24
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guguskin
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. \(4^8T^8\)
Can anyone please show the workings to get to the OA? I don't get it. Thank you
A. \(4^3T^4\)
B. \(4^4T^4\)
C. \(4^6T^8\)
D. \(4^7T^8\)
E. \(4^8T^8\)
Can anyone please show the workings to get to the OA? I don't get it. Thank you
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 = D
For more on exponents rules, see our free videos - https://www.gmatprepnow.com/module/gmat- ... video/1025 and https://www.gmatprepnow.com/module/gmat- ... video/1029)
Cheers,
Brent
14 Oct 2015, 20:17
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Hi guguskin,
This question can also be solved by TESTing VALUES, although you have to be careful about doing the proper work on the pad.
Based on the description of the sequence, we can TEST any VALUE we want for the first term:
IF....
1st term = 1
2nd term = 4(1^2) = 4
3rd term = 4(4^2) = 4^3 = 64
4th term = 4(64^2) = 4(4^6) = 4^7
The prompt asks us for the 4th term, so we're looking for an answer that equals 4^7 when T=1. There's only one answer that matches...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question can also be solved by TESTing VALUES, although you have to be careful about doing the proper work on the pad.
Based on the description of the sequence, we can TEST any VALUE we want for the first term:
IF....
1st term = 1
2nd term = 4(1^2) = 4
3rd term = 4(4^2) = 4^3 = 64
4th term = 4(64^2) = 4(4^6) = 4^7
The prompt asks us for the 4th term, so we're looking for an answer that equals 4^7 when T=1. There's only one answer that matches...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
