Algebra Geometric Sequences Lessons

GEOMETRIC SEQUENCE

 GEOMETRIC SEQUENCE

Examples :
 $2,\ 6,\ 18,\ 54$  , ...

 $-1,\ -6,\ -36,\ -216$  

 $\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16}$  

GEOMETRIC SEQUENCE

Examples:

 $2,\ 2,\ 2,\ 2,$  

 $-2,\ 4,\ -8,\ 16,\ -32,\ ...$  

 $100,\ 50,\ 25,\ ...$  

Multiple Choice

Determine whether the given sequence is geometric sequence.

3, 6, 9, 12, 15, ...

• It is a geometric sequence.

• It is not a geometric sequence.

Multiple Choice

Determine whether the given sequence is geometric sequence.

$$-1,\ -5,\ -25,\ -125$$  

• It is a geometric sequence.

• It is not a geometric sequence.

Multiple Choice

Determine whether the given sequence is geometric sequence.

$$2,\ 8,\ 32,128$$  

• It is a geometric sequence.

• It is not a geometric sequence.

Multiple Choice

Determine whether the given sequence is geometric sequence.

$$-6,\ -4,\ -2,\ 0$$  

• It is a geometric sequence.

• It is not a geometric sequence.

Multiple Choice

Determine whether the given sequence is geometric sequence.

3, 15, 75, 375

• It is a geometric sequence.

• It is not a geometric sequence.

GEOMETRIC SEQUENCE

 $2,\ 6,\ 18,\ 54,\ ...$  

 $r=\frac{6}{2}\ ;\ r\ =\frac{18}{6};\ r\ =\frac{54}{18}$  

 $r\ =\ 3$  

GEOMETRIC SEQUENCE

 $-1,\ -6,\ -36,\ -216$  

 $r=\frac{-6}{-1}\ ;\ r\ =\frac{-36}{-6};\ r\ =\frac{-216}{-36}$  

 $r\ =\ 6$  

GEOMETRIC SEQUENCE

 $400,\ 200,\ 100,\ 50,\ 25$  

 $r=\frac{200}{400}\ ;\ r\ =\frac{100}{200};\ r\ =\frac{50}{100}$  

 $r\ =\ \frac{1}{2}$  

Fill in the Blanks

Determine the common ratio of the given geometric sequence

$-3,\ -6,\ -12,\ -24$  

Fill in the Blanks

Determine the common ratio of the given geometric sequence

$3,\ -6,\ 12,\ -24$  

Fill in the Blanks

Determine the common ratio of the given geometric sequence

$64,\ 32,\ 16,\ 8$  

Fill in the Blanks

Determine the common ratio of the given geometric sequence

$10,\ 20,\ 40,\ 80$  

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

2, 4, 8, 16

• GEOMETRIC SEQUENCE

• ARITHMETIC SEQUENCE

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

4, 10, 16, 22

• GEOMETRIC SEQUENCE

• ARITHMETIC SEQUENCE

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

15,24,33,42,...

• GEOMETRIC SEQUENCE

• ARITHMETIC SEQUENCE

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

$$3,\ -6,\ 12,\ -24,\ ...$$  

• GEOMETRIC SEQUENCE

• ARITHMETIC SEQUENCE

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

$$2,\ 1,\ \frac{1}{2},\frac{1}{4}$$  

• GEOMETRIC SEQUENCE

• ARITHMETIC SEQUENCE

Multiple Choice

Determine whether the sequence is an Arithmetic Sequence or a Geometric Sequence.

$$2,\ 10,\ 50,\ 250,\ ...$$  

• GEOMETRIC SEQUENCE

• ARITHMETIC SEQUENCE

THANK YOU!!!