8.2
November 09, 2016
8.2: Finite Arithmetic Series Series ­ sum of the terms of a sequence.
Often use summation notation (capital sigma) to denote the sum of a sequence defined by a rule.
Summation Notation:
upper bound
rule
Sta
r
Sta ted f
rom
rte
d f
rom the th bott
o
e b
ott m no
om
w
no we
'r
w my e he
re
w
ho
le tea
m lower bound
Expand and evaluate.
he
re 8.2
November 09, 2016
Use sigma notation to rewrite each arithmetic or geometric finite series.
Kno
wing
g1 (r) n­1
a1 + d(n­
1)
is impo
r
here tant !
8.2
November 09, 2016
Use sigma notation to rewrite each arithmetic or geometric finite series.
8.2
November 09, 2016
Use sigma notation to rewrite each finite series.
You should know what these numbers are and what they represent! 8.2
November 09, 2016
Arithmetic series ­ the sum of an arithmetic sequence.
Gauss's Formula to find the sum of the first n terms of an Arithmetic Series:
a1 + an
Sn = n( )
2
Where: Sn = sum
n = # of terms
a1 = 1st term
an = nth term
Ex: Find the indicated sum of the arithmetic sequence.
S18 for 13 + 2 + (­9) + (­20) + ...
8.2
November 09, 2016
Ex: Find the sum for the arithmetic series.
8.2
November 09, 2016
Ex: Find the sum for the arithmetic series.
5, 8, 11, 14, 17, ... , 80
8.2
November 09, 2016
Worksheet 8.2 Finite Arithmetic Series