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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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Updated on: 02 Aug 2014, 01:56
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55% (hard)

Question Stats:

60% (01:33) correct 40% (01:39) wrong based on 231 sessions

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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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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.

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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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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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