SOLUTION: For the sequence a[n]=2(a[n-1]-2)and a[1]=5? find its first term its second term its third term its fourth term it fifth term?

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Question 1126361: For the sequence a[n]=2(a[n-1]-2)and a[1]=5?
find
its first term
its second term
its third term
its fourth term
it fifth term?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a%5Bn%5D=2%28a%5Bn-1%5D-2%29 and a%5B1%5D=5
first term is given a%5B1%5D=5
a%5B2%5D=2%28a%5B2-1%5D-2%29
a%5B2%5D=2%28a%5B1%5D-2%29->a%5B1%5D=5
a%5B2%5D=2%285-2%29
a%5B2%5D=2%283%29
a%5B2%5D=6
a%5B3%5D=2%28a%5B3-1%5D-2%29
a%5B3%5D=2%28a%5B2%5D-2%29->a%5B2%5D=6
a%5B3%5D=2%286-2%29
a%5B3%5D=2%284%29
a%5B3%5D=8
a%5B4%5D=2%28a%5B4-1%5D-2%29
a%5B4%5D=2%28a%5B3%5D-2%29
a%5B4%5D=2%288-2%29->a%5B3%5D=8
a%5B4%5D=2%286%29
a%5B4%5D=12
a%5B5%5D=2%28a%5B5-1%5D-2%29
a%5B5%5D=2%28a%5B4%5D-2%29
a%5B5%5D=2%2812-2%29->a%5B4%5D=12
a%5B5%5D=2%2810%29
a%5B5%5D=20