SOLUTION: given a 1=4 find the 7th term of the recursive sequence using: an=2an-1 -3, for n_>2

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Question 1085308: given a 1=4 find the 7th term of the recursive sequence using: an=2an-1 -3, for n_>2
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
You are given a%5B1%5D = 4  and  a%5Bn%5D= 2%2Aa%5Bn-1%5D-3 for n >= 2.


1.  Let us calculate a%5B2%5D:  a%5B2%5D = 2%2Aa%5B1%5D-3 = 2*4-3 = 5   (I substituted 4 instead of a%5B1%5D).


2.  Let us calculate a%5B3%5D:  a%5B3%5D = 2%2Aa%5B2%5D-3 = 2*5-3 = 7   (I substituted 5 instead of a%5B2%5D).


3.  Let us calculate a%5B4%5D:  a%5B4%5D = 2%2Aa%5B3%5D-3 = 2*7-3 = 11   (I substituted 7 instead of a%5B3%5D).

Can you continue and complete this process on your own ?

It is quite simple . . .