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PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
For more news and updates visit pakturkmaths.com
CLASS
XI
For any question mail us at info@pakturkmaths.com
Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Sequences and Series No 4
Q1: If 2 3
2 3
1 1 1
.....
3 3 3
y x x x    then x is:
A)
2
1
y
y
B)
1
y
y
C)
3
1
y
y
D) NONE
Q2: If
1 1 1
8 16 32
16 16 16 .....y    then y is:
A) 4 B) 2 C) 3 D) 2
Q3: If A,G & H are the . , . .AM G M and H M between a
& b , then which one of the following is true:
A) A G H  B) A G H 
C) H A G  D) G A H 
Q4: The sum of the series 3 3 3 3
1 2 3 ......n   is:
A)
 
22
1
4
n n 
B)
 
22
1
2
n n 
C)
 
23
1
4
n n 
D) NONE
Q5: The general term of the sequence
2 4 6 8
, , ,.....x x x x 
is:
A)   2
1
n n
na x  B)  
1
1
n n
na x

 
C)   3
1
n n
na x  D)  
2n
na x 
Q6: If
1 1 1
, ,
a b c
are in a H.P, then b is:
A)
2ab
a b
B)
2ac
a c
C)
2
a c
D)
2
a b
ac

Q7: If
1 1 1
,
2 1 4 1
and
k k k 
are in H.P, then k is:
A) 1 B) 3 C) 2 D) 5
Q8: The 7th
term of H.P
1 1 1
, , ,.....
3 5 7
is:
A) 15 B)
1
14
C)
1
15
D)
1
10
Q9: If .G G M , .A AM and .H H M then:
A) 2 2 2
.G A H B) .G AH
C) 2
.G A H D) 2
.G A H
Q10: Which one is H.P?
A) 3,6,9,... B)
1 1 1
, , ,...
2 5 11
C)
1 1 1
, , ,...
3 6 9
D) NONE
PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: If ,2 2,3 3,...y y y  is a G.P, then y is:
A) 1,4 B) 1,4 C) 1, 4  D) 1, 4
Q12: 1 2 3 .............. ?n    
A)  1n n  B)
 1
2
n n 
C)
 1
2
n n 
D)
 2
1
2
n n 
Q13:
2 2 2 2
1 2 3 .............. ?n    
A)
  1 2 1
3
n n n 
B)
  1 2 1
2
n n n 
C)
  1 2
3
n n n 
D)
  1 2 1
6
n n n 
Q14:
3 3 3 3
1 2 3 .............. ?n    
A)
 
2
1
2
n n  
 
 
B)
 
2
1
2
n n  
 
 
C)
 
3
1
2
n n  
 
 
D)
 
2
1
3
n n  
 
 
Q15:
0
1 ?
n
n
k
S

 
A) 1 B) n C) 1n  D) 2
n
Q16:
0
?
n
n
k
S k

 
A)  1n n  B)
 1
2
n n 
C)
 1
2
n n 
D)
 2
1
2
n n 
Q17: 2
0
?
n
n
k
S k

 
A)
  1 2 1
3
n n n 
B)
  1 2 1
6
n n n 
C)
  1 2
3
n n n 
D)
  1 2
6
n n n 
Q18: 3
0
?
n
n
k
S k

 
A)
 
2
1
2
n n  
 
 
B)
 
2
1
2
n n  
 
 
C)
 
3
1
2
n n  
 
 
D)
 
2
1
3
n n  
 
 
Q19: The difference of two consecutive terms of an A.P is
called its:
A) A.M B) G.M
D) Common Difference D) Common Ratio
Q20: 5,15,20,25 ... is:
A) A.M B) G.M D) H.M D) NONE
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20

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Hssc i objective ch 6 no 4

  • 1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1 For more news and updates visit pakturkmaths.com CLASS XI For any question mail us at info@pakturkmaths.com Composed by Engin Baştürk FEDERAL BOARD TYPE Objective Sequences and Series No 4 Q1: If 2 3 2 3 1 1 1 ..... 3 3 3 y x x x    then x is: A) 2 1 y y B) 1 y y C) 3 1 y y D) NONE Q2: If 1 1 1 8 16 32 16 16 16 .....y    then y is: A) 4 B) 2 C) 3 D) 2 Q3: If A,G & H are the . , . .AM G M and H M between a & b , then which one of the following is true: A) A G H  B) A G H  C) H A G  D) G A H  Q4: The sum of the series 3 3 3 3 1 2 3 ......n   is: A)   22 1 4 n n  B)   22 1 2 n n  C)   23 1 4 n n  D) NONE Q5: The general term of the sequence 2 4 6 8 , , ,.....x x x x  is: A)   2 1 n n na x  B)   1 1 n n na x    C)   3 1 n n na x  D)   2n na x  Q6: If 1 1 1 , , a b c are in a H.P, then b is: A) 2ab a b B) 2ac a c C) 2 a c D) 2 a b ac  Q7: If 1 1 1 , 2 1 4 1 and k k k  are in H.P, then k is: A) 1 B) 3 C) 2 D) 5 Q8: The 7th term of H.P 1 1 1 , , ,..... 3 5 7 is: A) 15 B) 1 14 C) 1 15 D) 1 10 Q9: If .G G M , .A AM and .H H M then: A) 2 2 2 .G A H B) .G AH C) 2 .G A H D) 2 .G A H Q10: Which one is H.P? A) 3,6,9,... B) 1 1 1 , , ,... 2 5 11 C) 1 1 1 , , ,... 3 6 9 D) NONE
  • 2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2 Q11: If ,2 2,3 3,...y y y  is a G.P, then y is: A) 1,4 B) 1,4 C) 1, 4  D) 1, 4 Q12: 1 2 3 .............. ?n     A)  1n n  B)  1 2 n n  C)  1 2 n n  D)  2 1 2 n n  Q13: 2 2 2 2 1 2 3 .............. ?n     A)   1 2 1 3 n n n  B)   1 2 1 2 n n n  C)   1 2 3 n n n  D)   1 2 1 6 n n n  Q14: 3 3 3 3 1 2 3 .............. ?n     A)   2 1 2 n n       B)   2 1 2 n n       C)   3 1 2 n n       D)   2 1 3 n n       Q15: 0 1 ? n n k S    A) 1 B) n C) 1n  D) 2 n Q16: 0 ? n n k S k    A)  1n n  B)  1 2 n n  C)  1 2 n n  D)  2 1 2 n n  Q17: 2 0 ? n n k S k    A)   1 2 1 3 n n n  B)   1 2 1 6 n n n  C)   1 2 3 n n n  D)   1 2 6 n n n  Q18: 3 0 ? n n k S k    A)   2 1 2 n n       B)   2 1 2 n n       C)   3 1 2 n n       D)   2 1 3 n n       Q19: The difference of two consecutive terms of an A.P is called its: A) A.M B) G.M D) Common Difference D) Common Ratio Q20: 5,15,20,25 ... is: A) A.M B) G.M D) H.M D) NONE Answer Key 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20