Iteration is a process where you use your previously obtained answers in your next equation. Consider the equation x_(n+1)=x_(n)+4. Where n is an arbitrary non negative integer.
We must be given an original x_0 say x_0=1 here. Then
x_1=x_0+4=5
x_2=x_1+4=9
x_3=x_2+4=13
and so on....
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You need to find the perimeter at the first few iterations and find out what the sequence is. It could be an arithmetic sequence or a polynomial of a higher degree: you need to find out the generating polynomial. Then substitute the iteration number in place of the variable in this polynomial.
iteration
Jacobi iteration is used to diagonalize a matrix or system of equations, by applying well-chosen rotations. These rotations are chosen to zero particular off-diagonal elements. It might be guessed that the process would only need to be done once for each off-diagonal element, but in fact each iteration destroys some of the zeros created during previous iterations. Nevertheless, the process does converge to a diagonal system.
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