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In a certain sequence, the term \(t_n\) is defined as \(t_n=3t_{n-1}-2t_{n-2}\) for all \(n > 2.\) If \(t_1=-2\) and

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by VJesus12 » Wed Nov 10, 2021 2:50 am

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In a certain sequence, the term \(t_n\) is defined as \(t_n=3t_{n-1}-2t_{n-2}\) for all \(n > 2.\) If \(t_1=-2\) and \(t_2=-1,\) then \(t_4=\)

A. -10
B. -8
C. -3
D. 1
E. 5

Answer: E

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Re: In a certain sequence, the term \(t_n\) is defined as \(t_n=3t_{n-1}-2t_{n-2}\) for all \(n > 2.\) If \(t_1=-2\) and

by Brent@GMATPrepNow » Fri Nov 12, 2021 5:36 am
VJesus12 wrote: ↑
Wed Nov 10, 2021 2:50 am
 In a certain sequence, the term \(t_n\) is defined as \(t_n=3t_{n-1}-2t_{n-2}\) for all \(n > 2.\) If \(t_1=-2\) and \(t_2=-1,\) then \(t_4=\)

A. -10
B. -8
C. -3
D. 1
E. 5

Answer: E

Source: Magoosh
Given: term_(n) = 3term_(n-1) - 2term_(n-2)

So, for example, term_3 = 3term_(3-1) - 2term_(3-2) = 3term_2 - 2term_1 = 3(-1) - 2(-2) = 1

Similarly, term_4 = 3term_3 - 2term_2 = 3(1) - 2(-1) = 5

Answer: E
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