Questions on Infinite Geometric Series
  Answer to 2 decimal places  
                   
                   
Q1) If possible, find the sum to infinity of the following series.      
  If the series is divergent, enter "d".          
                   
  a) 2 1.8 1.62 1.458 1.3122 . . . . . .  Sinf =
                   
                   
  b) 1 0.1 0.01 0.001 0.0001 . . . . . . Sinf =
                   
                   
  c) 10 7.5 5.625 4.21875 3.1640625 . . . . . . Sinf =
                   
                   
  d) -8 2 -0.5 0.125 -0.03125 . . . . . . Sinf =
                   
                   
  e) -8 -8.8 -9.68 -10.648 -11.7128 . . . . . . Sinf =
                   
                   
  f) 12 -4.8 1.92 -0.768 0.3072 . . . . . . Sinf =
                   
                   
  g) 100 90 81 72.9 65.61 . . . . . . Sinf =
                   
                   
  h) 100 -90 81 -72.9 65.61 . . . . . . Sinf =
                   
                   
  i) -100 -200 -400 -800 -1600 . . . . . . Sinf =
                   
                   
  j) 0.01 0.011 0.0121 0.01331 0.014641 . . . . . . Sinf =
                   
                   
Q2) Find the common ratio of a geometric series with a first term of      10
  and a sum to infinity of 30          
                r =
                   
Q3) Find the common ratio of a geometric series with a first term of      -8
  and a sum to infinity of -20          
                r =
                   
Q4) Find the common ratio of a geometric series with a first term of      12
  and a sum to infinity of 25          
                r =
                   
Q5) Find the first term of a geometric series with with a ratio of     0.5
  and a sum to infinity of  25          
                a =
                   
Q6) Find the first term of a geometric series with with a ratio of     0.7
  and a sum to infinity of  75          
                a =
                   
Q7) Find the first term of a geometric series with with a ratio of     0.2
  and a sum to infinity of  27          
                a =
                   
                   
                   
Q8) Term 5 of a geometric sequence is 0.5      
  Term  2 the same sequence is   4      
                   
  Find the sum to infinity of this series:  
                   
    S =            
                   
                   
                   
                   
Q9) Term 4 of a geometric sequence is 0.32      
  Term  3 the same sequence is   1.6      
                   
  Find the sum to infinity of this series:  
                   
    S =            
                   
                   
                   
                   
Q10) Term 6 of a geometric sequence is -2.3328      
  Term  3 the same sequence is   -10.8      
                   
  Find the sum to infinity of this series:  
                   
    S =