Geometric Questions 1    
                   
                   
Q1) Find term 6 of the following sequence:  
                   
  200 100 50 25 12.5 . . . . .     
                   
Q2) Find term 7 of the following sequence:  
                   
  100 10 1 0.1 0.01 . . . . .     
                   
Q3) Find term 9 of the following sequence:  
                   
  0.1 0.3 0.9 2.7 8.1 . . . . .     
                   
Q4) Find term 8 of the following sequence:  
                   
  -3 -12 -48 -192 -768 . . . . .     
                   
Q5) Find the sum of the first  20 terms of the sequence:    
                   
  2 0.4 0.08 0.016 0.0032 . . . . .       
                   
    Required Sum =          
                   
Q6) Find the sum of the first  10 terms of the sequence:    
                   
  8 4.8 2.88 1.728 1.0368 . . . . .       
                   
    Required Sum =          
                   
Q7) Find the sum of the first  30 terms of the sequence:    
                   
  25 22.5 20.25 18.225 16.4025 . . . . .       
                   
    Required Sum =          
                   
                   
Q8) Term 5 of a geometric sequence is   3888    
  Term  2 the same sequence is     18    
                   
  Find the first term and the value of the ratio.  
                   
    a =            
    r1 =             
                   
  List the first five terms of the sequence in both cases:        
                   
  Using r1    
                   
Q9) Term 7 of a geometric sequence is   -1.25    
  Term  3 the same sequence is     -20    
                   
  Find the first term and the possible values of the ratio.  
                   
    a =            
    r1 =             
    r2 =             
                   
  List the first five terms of the sequence in both cases:        
                   
  Using r1    
  Using r2    
                   
Q10) Term 8 of a geometric sequence is   69984    
  Term  3 the same sequence is     9    
                   
  Find the first term and the value of the ratio.  
                   
    a =            
    r1 =             
                   
  List the first five terms of the sequence in both cases:        
                   
  Using r1    
                   
Q11) Term 6 of a geometric sequence is   6.075    
  Term  2 the same sequence is     1.2    
                   
  Find the possible first terms and the possible values of the ratio.  
                   
    a = or  a =      
    r =  or  r =       
                   
  List the first five terms of the possible sequences:  
                   
         
         
                   
Q12) Term 5 of a geometric sequence is   -162    
  Term  2 the same sequence is     -6    
                   
  Find the possible first terms and the possible values of the ratio.  
                   
    a =            
    r =             
                   
  List the first five terms of the possible sequences: