1)A sequence is defined by Tn= Tn-2/Tn-1 for n>=3 with T1=20 and T2=2.

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The discussion revolves around a mathematical sequence defined by Tn = Tn-2 / Tn-1 for n ≥ 3, with initial values T1 = 20 and T2 = 2. The calculation of the fourth term, T4, is derived from T3, which equals T1 / T2. Additionally, the general term of the sequence is given as Tn = 2^(n-2), and the task is to find n when Tn = 1/128 by solving the equation 1/128 = 2^(n-2).

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1)A sequence is defined by Tn= Tn-2/Tn-1 for n>=3 with T1=20 and T2=2. find the 4th term.

2) The general term of a sequence is Tn=2^n-2. Find n if Tn=1/128.

What's the answer? Please help. Thanks.
 
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well, for the first one it is quite easy

what is the 3rd term.

T3=T1/T2, right? so the 4rth term would be T4=T2/T3, right?

2) well all you need to do here is set 1/128=2^n-2 and solve for n? do you know how to do it?
 

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