SOLUTION: 1) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the sequence. 2) Find the first five terms of the sequence given the following recursive formula: a1

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Question 1085370: 1) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the sequence.
2) Find the first five terms of the sequence given the following recursive formula: a1=-3, a2=-7, and an=an-2an-1 for n_> 3.
3) Find the 34th term of this sequence: -35,-49,-63,-77,...
4) What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83?
Answer by ikleyn(52754)   (Show Source): You can put this solution on YOUR website!
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1) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the sequence.
2) Find the first five terms of the sequence given the following recursive formula: a1=-3, a2=-7, and an=an-2an-1 for n_> 3.
3) Find the 34th term of this sequence: -35,-49,-63,-77,...
4) What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83?
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1)  This problem is REMARKABLE.

    It is remarkable, because you do not need to think to solve it.

    You need simply plug in the numbers into the formula  = .

    For example, the first term  (n=1)  is   =  = -(13-6) = -7;


    The second term  (n= 2)  is    =  = 1*(26-6) = 20.


    AND SO ON . . .    Can you complete it on your own ??



2)  This problem is REMARKABLE too.

    It is remarkable due to the same reason: you do not need to think to solve it.

    You need simply plug in the numbers into the formula  =  for n >= 3.

    
    For example,  =  = (-3)*(-7) = 21.

                  =  = (-7)*(21) = -147,


    AND SO ON . . .  Can you complete it on your own ??


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