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 2
Q1: The sum for 1 2 3 4 ..... n     is:
A)  1 1a n d  B)
 1
2
n n 
C)
 1
2
n n 
D) NONE
Q2:      1 1 1 12 ... 1 ?a a d a d a n d        
A)   1 1
2
n
a n d   
B)   12 1n a n d   
C)   12 1
2
n
a n d   
D)   12 1
2
n
a n d   
Q3: Which formula is used for arithmetic series?
A)   1 1
2
n
n
S a n d    
B)  1
2
n n
n
S a a 
C)  
1
1
1
n
n
r
S a
r



D) NONE
Q4: The sum of 1st
100 positive even integers is:
A) 10000 B) 10111 C) 10101 D) 10100
Q5: The sum of the series 5 9 13 ... 41    is:
A) 220 B) 230 C) 240 D) 280
Q6: The sum of the series 8 6 4 ...   up to 10 terms is:
A) -8 B) 8 C) 10 D) -10
Q7: How many terms of the series
     11 7 3 ...      will sum up 304?
A)
19
2
n

 B) 15n  C) 16n  D) 17n 
Q8: The sequence 1 2 3
1 1 1 1 1, , , ,..., n
a a r a r a r a r is called …
A) A sequence B) H.P
C) G.P D) A.P
Q9: The H.M between 9 and 11is:
A)
9
10
B)
7
10
C)
99
10
D) None of these
Q10: The positive G.M between 4 and 64 is:
A) 4 B) 16 C) 32 D) 64

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: In G.P 1
1
n
na a r 
 where r is:
A) Common difference B) Common Ratio
C) Common Factor D) NONE
Q12: If the 1st
three terms of G.P are 1,
3
,
4
9
16
then the 6th
term is:
A)
242
257
B)
241
1024
C)
243
1024
D) None
Q13: The 7th
term of the G.P 5,15,.... is:
A) 3544 B) 3645 C) 3646 D) 3640
Q14: The general term of a G.P is:
A) 1
n
na a r B) 1
1
n
na a r 
 C) 1
1
n
na a r 
 D) 1na a r
Q15: If 1r  then the G.S is called as:
A) Convergent B) Divergent C) Finite D) Constant
Q16: If 1r  then the infinite G.S is called as:
A) Divergent B) Convergent C) Finite D) Constant
Q17: If , ,a G b are in G.P then G is called:
A) Geometric Progression B) Geometric mean
C) A.M D) Harmonic Mean
Q18: If 1 44, 256,a a  then r is:
A) 2 B) 3 C) 4 D)
1
2
Q19: The geometric mean between
1
2
2
and
1
12
2
is:
A)
5 5
3
B)
5
2
C)
5 2
2
D)
5 5
2
Q20: The sum of the series 1 2 3 1
1 1 1 1 1, , , ,..., n
a a r a r a r a r 
if 1r 
is:
A)
 
 
1 1
1
n
a r
r


B)
 
1
1
a
r 
C)
 
 
1 1
1
n
a r
r


D)
 
 
1
1
n
r
r


Answer Key
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