Use the Secant method (defined in the book) to show that sequence below converges to (square root Q), where Q > 0, given "good" starting values x_0 and x_1:
x_n+1 = (x_n x_n-1 + Q) / (x_n + x_n-1).
Come up with a similar recursion for calculating Q^(1/3) using the secant method.© BrainMass Inc. brainmass.com March 21, 2019, 11:21 pm ad1c9bdddf
Note that if the sequence converges to a positive value, it must converge to sqrt(Q). Suppose ...
We show that a given system of two real-valued sequences converges to the square root of the first number in the first sequence and show how to derive a system of sequences which converge to the cube root of the first number in the first sequence.