20070201
5-9-10
Graphing a Recursion Formula
Example Generate a number table from recursion between two terms as
expressed by
a n +1 = 2 a n + 1, with an initial term of a 1 = 1, as n changes
in value from 1 to 6. Use the table values to draw a line graph.
Use the following V-Window settings.
Xmin = 0, Xmax = 6, Xscale = 1
Ymin = –15, Ymax = 65, Yscale = 5
Procedure
1 m RECUR
2 !3 (V-WIN) a w g w b w c
- bf w gf w f wJ
3 !m (SET UP)ccc 1 (T+G)J
4 3 (TYPE)2 (
a n +1 )c 2 ( a n )+b w
5 5 (SET)2 (
a 1 )b w g w b wJ
6 1 (SEL+S)f 2 (
)J
7 6 (TABL)
8 5 (G • CON)
Result Screen
# You can make the number table active by
pressing K 1 (CHNG) or A .
# After drawing a graph, you can return to the
number table screen by pressing !6 (G ↔ T)
or A .
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