Scroll:Sequences and series >> Goemetric sequences >> saq (4227)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.005, 0.025, 0.125........

Common ratio r =


Answer:_______________




2)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.22, 0.44, 0.88........

Common ratio r =


Answer:_______________




3)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.003, 0.015, 0.075........

Common ratio r =


Answer:_______________




4)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.55, 1.1, 2.2........

Common ratio r =


Answer:_______________




5)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.001, 0.005, 0.025........

Common ratio r =


Answer:_______________




6)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.33, 0.66, 1.32........

Common ratio r =


Answer:_______________




7)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.004, 0.02, 0.1........

Common ratio r =


Answer:_______________




8)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.44, 0.88, 1.76........

Common ratio r =


Answer:_______________




9)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.005, 0.025, 0.125........

Common ratio r =


Answer:_______________




10)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.11, 0.22, 0.44........

Common ratio r =


Answer:_______________




 

1)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.005, 0.025, 0.125........

Common ratio r = Answer: 5


SOLUTION 1 :

 Here t1=0.005, t2=0.025, t3=0.125

 Common ratio r =t2  =0.025 =  5 
 t1 0.005

 

 Common ratio r =t3  =0.125 =  5 
 t2 0.025
 

 

 t2= t3 r = 5
 t1 t2

 



2)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.22, 0.44, 0.88........

Common ratio r = Answer: 2


SOLUTION 1 :

 Here t1=0.22, t2=0.44, t3=0.88

 Common ratio r =t2  =0.44 =  2 
 t1 0.22

 

 Common ratio r =t3  =0.88 =  2 
 t2 0.44
 

 

 t2= t3 r = 2
 t1 t2

 



3)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.003, 0.015, 0.075........

Common ratio r = Answer: 5


SOLUTION 1 :

 Here t1=0.003, t2=0.015, t3=0.075

 Common ratio r =t2  =0.015 =  5 
 t1 0.003

 

 Common ratio r =t3  =0.075 =  5 
 t2 0.015
 

 

 t2= t3 r = 5
 t1 t2

 



4)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.55, 1.1, 2.2........

Common ratio r = Answer: 2


SOLUTION 1 :

 Here t1=0.55, t2=1.1, t3=2.2

 Common ratio r =t2  =1.1 =  2 
 t1 0.55

 

 Common ratio r =t3  =2.2 =  2 
 t2 1.1
 

 

 t2= t3 r = 2
 t1 t2

 



5)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.001, 0.005, 0.025........

Common ratio r = Answer: 5


SOLUTION 1 :

 Here t1=0.001, t2=0.005, t3=0.025

 Common ratio r =t2  =0.005 =  5 
 t1 0.001

 

 Common ratio r =t3  =0.025 =  5 
 t2 0.005
 

 

 t2= t3 r = 5
 t1 t2

 



6)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.33, 0.66, 1.32........

Common ratio r = Answer: 2


SOLUTION 1 :

 Here t1=0.33, t2=0.66, t3=1.32

 Common ratio r =t2  =0.66 =  2 
 t1 0.33

 

 Common ratio r =t3  =1.32 =  2 
 t2 0.66
 

 

 t2= t3 r = 2
 t1 t2

 



7)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.004, 0.02, 0.1........

Common ratio r = Answer: 5


SOLUTION 1 :

 Here t1=0.004, t2=0.02, t3=0.1

 Common ratio r =t2  =0.02 =  5 
 t1 0.004

 

 Common ratio r =t3  =0.1 =  5 
 t2 0.02
 

 

 t2= t3 r = 5
 t1 t2

 



8)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.44, 0.88, 1.76........

Common ratio r = Answer: 2


SOLUTION 1 :

 Here t1=0.44, t2=0.88, t3=1.76

 Common ratio r =t2  =0.88 =  2 
 t1 0.44

 

 Common ratio r =t3  =1.76 =  2 
 t2 0.88
 

 

 t2= t3 r = 2
 t1 t2

 



9)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.005, 0.025, 0.125........

Common ratio r = Answer: 5


SOLUTION 1 :

 Here t1=0.005, t2=0.025, t3=0.125

 Common ratio r =t2  =0.025 =  5 
 t1 0.005

 

 Common ratio r =t3  =0.125 =  5 
 t2 0.025
 

 

 t2= t3 r = 5
 t1 t2

 



10)  

 Find out which ofthe following sequence are geometric sequences. For those geometric sequences, find the common ratio.

0.11, 0.22, 0.44........

Common ratio r = Answer: 2


SOLUTION 1 :

 Here t1=0.11, t2=0.22, t3=0.44

 Common ratio r =t2  =0.22 =  2 
 t1 0.11

 

 Common ratio r =t3  =0.44 =  2 
 t2 0.22
 

 

 t2= t3 r = 2
 t1 t2