Sunday, December 5, 2010

Dylan's blog... :/

chp. 13-1 Sequences
-a list of numbers

arithmetic-add same # to every term
geometric-multiply by same # every term

the variable "d" stands for the +/- term in arithmetic sequences
the variable "r" stands for the *// term in geometric sequences

Ex. of sequences
a. 4,8,12,16,... arithmetic (adding 4)
b. 9, 27/2, 81/4,...geometric (multiply by 3/2)
c. 4,7,11,16,22,...neither

To find the n^m term of a sequence
Arithmetic: tn=t1+(n-1)d
Geometric: tn=t1*r^n-1

ex. find first 3 terms for tn=4n-3
t1=4(1)-3=1
t2=4(2)-5=5
t3=4(3)-3=9

ex. find formula for n^m term :3,7,11,15
tn=t1+(n-1)d
tn=3+(n-1)(4)
tn=3+4n-4
tn=4n-1

No comments:

Post a Comment