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3-1 Lines and Angles
Notes 9.5
Calculator
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Basset
and Daisy
Angles
3-1 Lines Name:
Period:
9.5
Geometric
Series
TOPIC:
Objective:
Date :
Subject:
Notes
Derive the formula for
the sum of a finite
geometric series and use
the formula to solve
problems.
Holt Geometry
3-1 Lines and Angles
Vocabulary
 Geometric Series
Key Concept
 Sum of a Finite
Geometric Series
 Sum of an Infinite
Geometric Series
Holt Geometry
1. What is the
sum of the
finite
geometric
series?
3-1 Lines and Angles
Holt Geometry
Lines and Angles
3-1
3 + 6 + 12 + 24
6
r = 
3
2
+ … + 3072
a1 = 3
n - 1
an = a1•r
n - 1
3072
3•2
____ = ______
3
3
1024 = 2
Holt Geometry
n - 1
3-1 Lines
Use
theand
y Angles
= button on the
calculator to find what x is in
x-1
2
= 1024.
Use the 2nd table
buttons.
x = 11 so
n = 11.
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and Angles
3-13Lines
+ 6 + 12 + 24
+ … + 3072
Find the Sum of the Finite Series
n
a1 1  r
Sn 
1 r


31  2
3 1 2
S11 

1
1  2

11

11

The sum of the series is
6141.
Holt Geometry
2. What is the
sum of the
infinite
geometric
series?
3-1 Lines and Angles
Holt Geometry
3-1 Lines and Angles
1 1
1    ...
2 4
Find the common ratio.
r =
Holt Geometry
1
2 
1
0.5
3-1 Lines
Find
the and
SumAngles
of the Infinite Series
a1
S
1 r
1
S
1  0 .5
1
S
0.5
Holt Geometry
3-1 Lines and Angles
The sum of
the series is 2.
Holt Geometry
3-1 Lines and Angles
Summary:
Write the button
pushes you used to
solve #1.
Holt Geometry
Hmwk 9.5 A:
3-1 Lines and Angles
Practice: 9, 10, 11, 27, 29, 31
Hmwk 9.5 B:
Math XL
Work on the Study Plan
Holt Geometry
3-1 Lines and Angles
H 9.5 Answers
Practice: 9, 10, 11, 27, 29, 31
Holt Geometry