Ch.9sec3
Page 1 of 3
Chapter9sec3
ArithmeticSequence
Page718
Notation:
a firstterm
1
a 2ndterm
2
a nthtermorthegeneralterm
n
Example1
Findthefirstfiveterms:
()
Math114
(
)
a) f n = 5+ n −1 i 4 b) an = 2n + 3 c) an
Page720:Example2
Findthetermnumber:Find‘n’forthegivenvalueof an 5n
a) an =2n–30when an =-4
b) an =
when an =3.75
n + 4
( −1)
=
n
2n
Ch.9sec3
Page 2 of 3
Math114
Page721:example3
Graphthefirstsixtermofeachsequence.
a) an = −3+ n −1 i7 Whattypeofgraphisthesequence?
Page722
Example4
Determinewhetherornoteachsequenceisaarithmetic.Ifthesequenceisarithmetic,findthe
commondifference‘d’.
a)-10,-5,0,5,10,15,...
b)-5,10,35,50,115,...
Page723
Page724:Example5
Determinewhetherornoteachsequenceisarithmetic.Ifthesequenceisarithmetic,findthe
commondifference,’d’,andthegeneralterm, an 1
1
3
a)7,10,13,16,19,...
b) − ,0, ,1, ,2,... c)6,12,24,48,...
2
2
2
(
)
Page 3 of 3
Ch.9sec3
Page726:Example7
Findthegeneralterm, an ,forthearithmeticsequenceswiththegiventerms.
a) a4 = 5 and a7 = 20 b) a3 = −6 and a8 = −26 Math114