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If a_n= 0.5* a_n+1, what is the value of a_7

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If a_n= 0.5* a_n+1, what is the value of a_7  [#permalink]

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New post Updated on: 02 Aug 2014, 01:56
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If \(a_n= 0.5* a_{n+1}\), what is the value of \(a_7\) ?

(1) \(a_3 = 4\)
(2) \(a_7 - a_1 = 63\)

Originally posted by alphonsa on 01 Aug 2014, 21:46.
Last edited by Bunuel on 02 Aug 2014, 01:56, edited 1 time in total.
Edited the question.
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Re: If a_n= 0.5* a_n+1, what is the value of a_7  [#permalink]

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New post 02 Aug 2014, 02:01
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If \(a_n= 0.5* a_{n+1}\), what is the value of \(a_7\) ?

(1) \(a_3 = 4\) --> \(a_3= 0.5* a_{4}\). We can find \(a_4\), the same way we can find any other term: \(a_5\), \(a_6\), \(a_7\), ... Sufficient.

(2) \(a_7 - a_1 = 63\) --> \(a_7 - \frac{1}{2}*a_2 = 63\) --> \(a_7 - (\frac{1}{2})^2*a_3 = 63\) ... --> \(a_7 - (\frac{1}{2})^6*a_7 = 63\) --> we can get the value of \(a_7\). Sufficient.

Answer: D.
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Re: If a_n= 0.5* a_n+1, what is the value of a_7  [#permalink]

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New post 29 Nov 2018, 12:16
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Re: If a_n= 0.5* a_n+1, what is the value of a_7   [#permalink] 29 Nov 2018, 12:16
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