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Introduction to Sequences & Series' & Recurrence Relations
by Tim Czerniak
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Adam & Eve picture from "Temptation" by Lutwin.
http://ccat.sas.upenn.edu/~humm/Topics/AdamNeve/a_n_e17.html
Note: The described method is for arithmetic sequences only.
The equivalent method for Geometric sequences is as follows:
a: the first term.
r: the common ratio.
if U4 = 27
and U2 = 3
Calculating r:
U4 = U2 x r^2
27 = 3 x r^2
27/3 = r^2
r^2 = 9
r = (plus or minus!) 3
Calculating a:
a = U1
a x r = U2
either:
3a = 3
a = 1
or:
-3a = 3
a = -1
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2002
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