4.11 Consider the following relation Xn+1 = x +0.25 n = 0, 1, 2,..., N For...

 

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4.11 Consider the following relation Xn+1 = x +0.25 n = 0, 1, 2,..., N For xo = 0, write two scripts that plot the values of x, for n = 0,5,10,..., 200. In the first script, use a for loop and in the second script a while loop. To what value does XN appear to converge? For the third argument of the plot function, use plot (.......,'ks'), which will plot the values of x,, as squares. The x-axis values are the values of n and the y-axis values are the x. Note that all x, n = 0, 1, 2, ..., 200, must be computed, but only every fifth x,, is plotted. This exercise differs from Exercise 4.10 in that the values of x,, must be saved as elements of a vector so that the appropriate ele- ments can be subsequently displayed. 4.11 Consider the following relation Xn+1 = x +0.25 n = 0, 1, 2,..., N For xo = 0, write two scripts that plot the values of x, for n = 0,5,10,..., 200. In the first script, use a for loop and in the second script a while loop. To what value does XN appear to converge? For the third argument of the plot function, use plot (.......,'ks'), which will plot the values of x,, as squares. The x-axis values are the values of n and the y-axis values are the x. Note that all x, n = 0, 1, 2, ..., 200, must be computed, but only every fifth x,, is plotted. This exercise differs from Exercise 4.10 in that the values of x,, must be saved as elements of a vector so that the appropriate ele- ments can be subsequently displayed.

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