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20050401
Example To draw the WEB graph for the recursion formula an+1 = –3(an)
2
+ 3an,
bn+1 = 3bn + 0.2, and check for divergence or convergence. Use the
following table range and V-Window Settings.
Table Range
Start = 0, End = 6, a0 = 0.01, anStr = 0.01, b0 = 0.11, bnStr = 0.11
V-Window Settings
Xmin = 0, Xmax = 1, Xscale = 1
Ymin = 0, Ymax = 1, Yscale = 1
Procedure
1 m RECUR
2 !3(V-WIN)awbwbwc
awbwbwJ
3 3(TYPE)2(an+1)-d2(an)x+d2(an)w
d3(bn)+a.cw
4 5(SET)1(a0)
awgwa.abwa.bbwc
a.abwa.bbwJ
5 6(TABL)
6 4(WEB)
7 w~w(an is convergence)
cw~w(bn is divergence)
Result Screen
5-9-8
Graphing a Recursion Formula