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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