Question:: if a 0 = x, a n+1 = f(a n ), n=0,1,2.............. find a n when 1) f(x) = square root of mod x 2) f(x) = 1/1-x for convinience answers are 1)mod x 1/2n 2) an = x if n=3m, m is intergers 1/1-x if n=3m+1 m is integer x-1/x if n= 3m+2 mis integer

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Ashwin Muralidharan IIT Madras · Answer

Hi Shiwani, Hope that helps. Regards, Ashwin (IIT Madras).

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Question:: if a 0 = x, a n+1 = f(a n ), n=0,1,2.............. find a n when 1) f(x) = square root of mod x 2) f(x) = 1/1-x for convinience answers are 1)mod x 1/2n 2) an = x if n=3m, m is intergers 1/1-x if n=3m+1 m is integer x-1/x if n= 3m+2 mis integer

Question::
if a₀ = x, a_n+1 = f(a_n), n=0,1,2.............. find a_nwhen

1) f(x) = square root of mod x

2) f(x) = 1/1-x

for convinience answers are

1)mod x^1/2n

2) an = x if n=3m, m is intergers

1/1-x if n=3m+1 m is integer

x-1/x if n= 3m+2 mis integer

1 Answers

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Question:: if a 0 = x, a n+1 = f(a n ), n=0,1,2.............. find a n when 1) f(x) = square root of mod x 2) f(x) = 1/1-x for convinience answers are 1)mod x 1/2n 2) an = x if n=3m, m is intergers 1/1-x if n=3m+1 m is integer x-1/x if n= 3m+2 mis integer

Question:: if a0 = x, an+1 = f(an), n=0,1,2.............. find an when 1) f(x) = square root of mod x 2) f(x) = 1/1-x for convinience answers are 1)mod x1/2n 2) an = x if n=3m, m is intergers 1/1-x if n=3m+1 m is integer x-1/x if n= 3m+2 mis integer

1 Answers

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Question::
if a₀ = x, a_n+1 = f(a_n), n=0,1,2.............. find a_nwhen

1) f(x) = square root of mod x

2) f(x) = 1/1-x

for convinience answers are

1)mod x^1/2n

2) an = x if n=3m, m is intergers

1/1-x if n=3m+1 m is integer

x-1/x if n= 3m+2 mis integer