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If the infinite sequence a1, a2, a3, ..., an, ..., each term [#permalink]
16 May 2008, 02:50

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In the infinite sequence \(a_1\), \(a_2\), \(a_3\),...., \(a_n\), each term after the first is equal to twice the previous term. If \(a_5-a_2=12\), what is the value of \(a_1\)?

Re: If the infinite sequence a1, a2, a3, ..., an, ..., each term [#permalink]
25 Mar 2014, 07:46

Expert's post

In the infinite sequence \(a_1\), \(a_2\), \(a_3\),...., \(a_n\), each term after the first is equal to twice the previous term. If \(a_5-a_2=12\), what is the value of \(a_1\)?

A. 4 B. 24/7 C. 2 D. 12/7 E. 6/7

The formula for calculating \(n_{th}\) term would be \(a_n=2^{n-1}*a_1\) . So: \(a_5=2^4*a_1\); \(a_2=2*a_1\);

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