Recurrence Relations

Okay guys, more to think about.

each of the following recurrence relations has the property that if a sequence generated by the recurrence relation converges to a limit in the interval (0,16/9), then that limit must be a solution of f(x) = 36

A:

x = 72(2-x)^2

n+1 (16-9x )(20-9x ) (n = 0,1,2......)

n n

B:

x = 2 (11-Square root 72 - 31 )

n+1 9 x (n = 0,1,2......)

n

Generate the sequence starting with x = 1.7 for each recurrence relation and tabulate the results to six decimal places

0

Show seperately the solution to f(x) = 36 to six decimal places

I know you experts like a challenge.....lol

Paul