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A sequence of numbers a1, a2, a3, …, an is generated by the
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02 May 2019, 02:23
02 May 2019, 02:23
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Question Stats:
85% (01:14) correct
14% (01:30) wrong based on 21 sessions
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A sequence of numbers \(a_1\), \(a_2\), \(a_3\), …, \(a_n\) is generated by the rule \(a_{n+1} = 2a_{n}\). If\(a_{7} – a_{6} = 96\), then what is the value of \(a_{7}\) ?
(A) 48
(B) 96
(C) 98
(D) 192
(E) 198
(A) 48
(B) 96
(C) 98
(D) 192
(E) 198
Re: A sequence of numbers a1, a2, a3, …, an is generated by the
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16 Apr 2020, 09:39
16 Apr 2020, 09:39
Expert Reply
Putting n = 6 in the given rule \(a_{n+1} = 2a_n\) yields \(a_{6 + 1} = 2a_6\) , or \(a_7 = 2a_6\) . Since we are given that \(a_7 – a_6 =96\), we have \(2a_6 – a_6 = 96\), or \(a_6 = 96\).
Hence, \(a_7 = 2a_6 = 2 \times 96 = 192\).
The answer is D
Hence, \(a_7 = 2a_6 = 2 \times 96 = 192\).
The answer is D
Re: A sequence of numbers a1, a2, a3, …, an is generated by the
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02 Jun 2021, 07:02
02 Jun 2021, 07:02
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