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21 Aug 2019, 22:37
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E
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Difficulty:
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82% (01:58) correct
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What is the difference between the twelfth and eleventh terms of the sequence 0, 0, 1, 4, 9 ... whose nth term is \(2^{n - 1} - n\) ?
A. 20
B. 31
C. 63
D. 123
E. 1023
A. 20
B. 31
C. 63
D. 123
E. 1023
21 Aug 2019, 22:39
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Bunuel
What is the difference between the twelfth and eleventh terms of the sequence 0, 0, 1, 4, 9 ... whose nth term is \(2^{n - 1} - n\) ?
A. 20
B. 31
C. 63
D. 123
E. 1023
A. 20
B. 31
C. 63
D. 123
E. 1023
Similar questions:
https://gmatclub.com/forum/what-is-the- ... 44459.html
https://gmatclub.com/forum/what-is-the- ... 09260.html
firas92
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21 Aug 2019, 23:17
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Twelfth term \(= 2^{11}-12\)
Eleventh term \(= 2^{10}-11\)
Twelfth term \(-\) Eleventh term \(= (2^{11}-12)-(2^{10}-11) = 2^{11}-12-2^{10}+11 = 2^{10}(2-1)-1 = 2^{10}-1 = 1024-1 = 1023\)
Answer is (E)
Eleventh term \(= 2^{10}-11\)
Twelfth term \(-\) Eleventh term \(= (2^{11}-12)-(2^{10}-11) = 2^{11}-12-2^{10}+11 = 2^{10}(2-1)-1 = 2^{10}-1 = 1024-1 = 1023\)
Answer is (E)
