1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
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CLASS
XI
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Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Sequences and Series No 3
Q1: If 1r  then, the sum of the finite Geometric Series is:
A)
 
 
1 1
1
n
a r
r


B)
 
 
1 1
1
n
a r
r


C)
 1
2
n n 
D)  1
2
n
n
a a
Q2: For finite geometric series which statement is not true?
A) 1r  B) 1r  C) 2r  D) 1r 
Q3: If 1 3a   , 2r  then 6 .............S 
A) -93 B) -102 C) -190 D) -189
Q4: How many terms are in G.P:
1 1 1
1, , ,...,
2 4 1024
A) 10 B) 11 C) 12 D) None
Q5: Find the last term of 1 3 2 7 3 11 .....     
A)  . 1n n  B)  . 1n n  C)  . 4 1n n D)  . 4 1n n 
Q6: The sum of the 1st
16 terms of the Geometric Series
1 1 1 1 1 1 1....      is:
A) 1 B) -1 C) 0 D) 2
Q7: The sum of the infinite geometric series is:
A) 1
1
a
r
B) 12
1
a
r
C) 1
1
a
r
D)
 1 1
1
n
a r
r


Q8: The sum of the series
1 1 1
1 ....
3 9 27
      is:
A)
2
3
B)
2
3
 C)
3
2
D)
3
2

Q9: Is the series 2 8 32 128 ...    convergent?
A) Yes B) No C) Neither D) None
Q10: The series 1 1 1 1 1 ...     is:
A) Convergent B) Divergent
C) Finite D) Does not converge

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: 2.410 in the common fraction is:
A)
410
999
B)
2308
999
C)
2408
999
D) None
Q12: If the first three terms of G.P are 4 3,8 3,16 3,...
then 4a is:
A) 15 3 B) 3 16 C) 16 3 D) 32 3
Q13: The reciprocal of A.P is called:
A) G.P B) G.M C) A.M D) H.P
Q14: If
1 1 1
, , ,...
3 8 13
is H.P, then 12a is:
A)
1
54
B)
1
55
C)
1
59
D)
1
58
Q15: If 1 1 1 1 1 1 1 ...       is a sequence to n terms
then , what is nS if n is even.
A) 1 B) -1 C) 0 D) 2
Q16: If 1
125 2
, , 8,
8 5
a r n   then 8 _____a 
A)
16
625
B)
625
16
C)
17
125
D) NONE
Q17: The series
3 3
6 3 ...
2 4
    is _____
A) Divergent B) Convergent C) G.P. D) Constant
Q18: The series 1 2
1 1 1 .....a a r a r   has a sum 1
1
a
r
if:
A) 1r  B) 1r  C) 1r  D)
2
3
r 
Q19: The sum of    2 1 1 2 1 ....     is____
A) 2 B)
1
2 2
C) Possible D) Impossible
Q20: The common difference fraction of 1.321 is:
A)
44
33
B)
440
333
C)
40
33
D)
441
331
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20