HP 38g Graphing Calculator User Manual
Page 97
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Sequence
Generate a sequence to calculate the square root of 2 using
Example
the iterative relationship
)
X ) =
\{Ul, +a),
where
a = 2.
Define this sequence in the HP 38G as
U1(N) = (Ul(N-iy + A)/(2*U1(N-1)) ,andstore2 in/t.
The Sequence aplet finds the square root by evaluating this
expression with successive values of N until the value for U1
stops changing. In this case, the sequence converges at a
value for
-Jl
starting with
.
Start the sequence by setting U1 (1) and U1 (2) to 1.
I
Select
Sequence
{{START}}
11 ENTER I 1 [
enter
!
G]{{U1}}{{N-1}} ■ {X^} 0
0] 0 0 2 0 {{ui}}
{{N-1}} i)10^
^^SEOyENCE SYMEDLIC VIEM^
v^uia>=i
•/UK2>=1
v'Ul
usa:)=
U2<2>=
nail Banal
iBangmaB
Store the value 2 in the real variable A.
1
HOME I
2 {{STO^}} iA...Z|A I ENTER I
Set up a stairstep plot.
m
{SETUP-PLOT]
Check that the default values
are set, including
stairstep.
(Press
■ [CLEAR]
to reset
default values.)
SEQUENCE nOT SETUP
SEQPLDT: BWemWtggg
NRNQ: 1
24
XRNG; -2
24
TRNGi -2
10.6
CHOOSE SEQUENCE PLOT TVPE
Plotting and Exploring Functions 3-33