perplexus.info :: Sequences : Complex Ratio and Number Resolution

Complex Ratio and Number Resolution (Posted on 2016-04-13)

Consider the function:
G(Z) = (Z+i)/(Z-i) for all complex numbers Z ≠ i, and:
The sequence {Z_n} is defined as:
G(Z_n-1) = Z_n, whenever n is a positive integer, and:
Z₀ = 1/137 + i

Find each of A, B, C and D, given that:
Z₂₀₁₄ = A+B*i, and:
Z₂₀₁₅ = C+D*i

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

A=1, B=274, C= 37538/37265, D = 1/37265
For an explanation, refer to the solution submitted by Charlie in this location.
Also, refer to the rejoinder submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: computer assisted solution	Brian Smith	2016-04-13 23:15:18
computer assisted solution	Charlie	2016-04-13 14:37:15

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