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SEQUENCE & SERIES TEST-1



Q #1. The rule of formation of 2, 5, 10…………….. is
a) 2n + 1
b) 2n - 1
c) n2+1
d) n2-1


Q # 2 : the 15th term of the sequence 1/5,1/7,1/9,1/11……….is
a) 1/33
b) 1/21
c) 1/36
d) 1/30


Q # 3: if the 7th term of an A.P is 14 and 12th term is 24 find the first term and the common difference.
a) 2,2
b) 3,2
c) 4,3
d) 6,5


Q # 4: How many terms of the series 10+ 8 + 6 + 4 +………….. will make the sum 24.
a) 4
b) 10
c) 25
d) 8


Q # 5: if a, b, c, d, e, f are in A.P then e – c = ?
a) 2(c-a)
b) 2(d-c)
c) 2(f-d)
d) d-c


Q # 6: Find 15th term of the A.P 11/2 6, 13/2, 7………………..is
a) 12
b) 13
c) 25/2
d) None


Q # 7: a, b, c are pth, qth and rth terms of an A.P, respectively, then p( b – c ) + q( c – a ) + r( a – b) = ?
a) 0
b) 2
c) 1
d) None


Q # 8: Three consecutive terms of an A.P are x + 2, 2x + 3, 5x – 6. the x = ?
a) 1
b) -1
c) 0
d) 5


Q # 9: The sum of the first n terms of two A.Ps are in the ratio 3n + 31 : 5n – 3, which terms of the sequence are equal ?
a) 7th
b) 6th
c) 9th
d) None


Q # 10: how many terms of the series 21 + 18 + 15 …………….. must be taken to amount to 75.
a) 10
b) 7
c) 5
d) both a & c


SEQUENCE & SERIES TEST-2



Q # 1: How many terms of the G.S 1 + 4 + 16…. Must be taken to have their sum equal to 341.
a) 4
b) 6
c) 5
d) 7


Q # 2: If 3 + 3α + 3α2 + …….. = 25/8, then α = ?
a) 6/11
b) 2/13
c) 7/15
d) None


Q # 3: Find 20th term of the series log 2 + log 4 + log 8 + log 16 + ……..
a) 21log2
b) 20log2
c) log2
d) 10log2


Q # 4 Find common fraction of 0.-45
a) 5/11
b) 5/13
c) 4/11
d) 3/11


Q # 5: Geometric mean between 2√ 3and 6√ 3 is
a) -6
b) ∓ 6
c) ∓ 5
d) None


Q # 6: What is the next number in the series 212, 179, 146, 113,… is ?
a) 102
b) 96
c) 80
d) 84


Q # 7: If 2, x, 32 are in G. P then x = ?
a) ∓ 16
b) ∓ 8
c) ∓ 4
d) None


Q # 8: If the A.M between the roots of the quadratic equation is 8 and G.M is 5 then the equation is,
a) x2 – 16x – 25 = 0
b) x2 + 16x – 25 = 0
c) x2 + 16x + 25 = 0
d) x2 – 16x + 25 = 0.


Q # 9 If 2x = 32 and 3y = 27 then xy = ?
a) 5
b) 15
c) 10
d) 25


Q # 10 The perimeter of an isosceles triangle is 36 cm, the altitude to the unequal side is 12 cm determine length of the sides
a) 12,12
b) 14,8
c) 30,10
d) 13,10


SEQUENCE & SERIES


MATH

                                        SEQUENCE & SERIES

TEST - 1


Q #1. The rule of formation of 2, 5, 10…………….. is
a) 2n + 1                 
b) 2n – 1              
c) n2 + 1               
d) n2 – 1 .

Q # 2 : the 15th term of the sequence 1/5,1/7,1/9,1/11……….is
a) 1/33                   
b) 1/21                   
c) 1/36                     
d) 1/30

Q # 3: if the 7th term of an A.P is 14 and 12th term is 24 find the first term and the common difference.
a) 2, 2                  
b) 3, 2                   
c) 4, 3                      
d) 6, 5.

Q # 4: How many terms of the series 10+ 8 + 6 + 4 +………….. will make the sum 24.
a) 4                    
b) 10                    
c) 25                           
d) 8.

Q # 5: if a, b, c, d, e, f are in A.P then e – c = ?
a) 2( c – a )        
b) 2 ( d – c )         
c) 2 ( f – d )              
d) d – c .

Q # 6: Find 15th term of the A.P 11/2 6, 13/2, 7………………..is
a) 12                 
b) 13                     
c) 25/2                    
d) None.

Q # 7: a, b, c are  pth, qth and rth terms of an A.P, respectively, then
 p( b – c ) + q( c – a ) + r( a – b) = ?
a) 0                  
b) 2                        
c) 1                           
e) None.

Q # 8: Three consecutive terms of an A.P are x + 2, 2x + 3, 5x – 6. the x = ?
a) 1                 
b) – 1                    
c) 0                            
d) 5.

Q # 9: The sum of the first n terms of two A.Ps are in the ratio 3n + 31 : 5n – 3, which terms of the sequence are equal ?
a) 7th               
b) 6th                   
c) 9th                          
d) None.

Q # 10: how many terms of the series 21 + 18 + 15 …………….. must be taken to amount to 75.
a) 10                 
b) 7                     
c) 5                            
d) both a & c.
   








                    SEQUENCE & SERIES TEST# 1


QUESTION#
ANSWERS
1
C
2
A
3
A
4
D
5
B
6
D
7
A
8
D
9
C
10
D



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