Test: Geometric Series I - Normal

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Question 1:   The fifth term of the geometric progression is   a 5 =9  ,  and common ratio is   r=3  .  Find the sixth   ( a 6 )   term of the progression.
27
1 3
6
3
Question 2:   In the geometric progression   ( a n )  ,  the initial term is   a 1 =16  ,  and the common ratio is   r= 1 2  .  Find the fifth term of the sequence.
1
8
8
1
Question 3:   Find the common ratio and the fifth term of the geometric sequence:   1 216 , 1 36 , 1 6 ….
a 5 =1   and   r=6
a 5 =1   and   r=6
a 5 =216   and   r=6
a 5 =6   and   r=6
Question 4:   Find the common ratio   (r)   of the geometric sequence   ( a n )   if   a 1 =2   and   a 5 =32 .
2
1 2
2
1 2
Question 5:   Find third term of geometric progression if   a 2 =25   and   a 4 =49 .
14
37
49 25
35
Question 6:   For any natural   n  ,  the sum of the first   n   terms of the geometric progression   ( a n )   is   S n =5 3 n 1  .  Find the initial term and the common ratio   (r) .
a 1 =10   and   r=3
a 1 =0   and   r=3
a 1 =0   and   r=4
a 1 =10   and   r=4
Question 7:   Find the sum of   n   first terms of the geometric progression   ( a n )   if   a 1 =8  ,   r= 1 2   and   n=4 .
15
14
14
15
Question 8:   Find the sum of the first five terms of the geometric progression   ( a n )  :   12,36,108...
1452
2904
324
726
Question 9:   Find the sum of the infinite geometric progression   ( a n )   if   a 1 =55   and   r= 1 6 .
330
56.5
66
48
Question 10:   Find the sum of the infinite geometric sequence:   10,1,0.1
0.01
100 9
9 100
100