Deck 3: Understanding Sequences and Arithmetic Progressions

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Question
A sequence is called infinite if it is not a

A)Finite sequence
B)AP
C)Progressions
D)None
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Question
Sequences following specific patterns are called

A)Progressions
B)finite sequence
C)Infinite sequence
D)None
Question
The various numbers occurring in a sequence are called

A)Progressions
B)Elements
C)Terms
D)None
Question
A sequence containing finite number of terms is called

A)Finite sequence
B)Infinite
C)Terms
D)none
Question
tn in AP is

A)a + (n -1 ) 2d
B)a +(n -1 ) d
C)a + (d -1 ) n
D)none
Question
to find sum of A.P. Sn =

A)n/2 [2a + (n -1)d]
B)n/2 [2a + d]
C)n/2 [2a +(n-1)]
D)None
Question
Find the 7th term of series 1,4,7………………

A)22
B)19
C)16
D)25
Question
Find the 10th term of the series 4, 2, 0, -2………..

A)-12
B)-10
C)-8
D)-14
Question
If 2, 5, 8……….. is A.P the t 20 is

A)60
B)59
C)58
D)None
Question
d of the A.P. 4, -8, -20……..

A)-4
B)12
C)-12
D)-8
Question
d of the A.P. 1,-1,-3,-5,…………….. is

A)1
B)-1
C)-2
D)2
Question
If the Nth term of an A.P. is 4n-1 then the d is

A)3
B)4
C)1
D)0
Question
Given the term in the sequence 1,3,7,15,31 next is …………….

A)62
B)63
C)46
D)66
Question
Find x if the number x ,7,28 from a GP

A)4
B)0
C)7/4
D)4/7
Question
The sum of an in finite G.P. is , where 'r' is

A)Numerically less than 1
B)Equal to 1
C)± 1
D)Any value
Question
Sum of n terms of a G.P is given by where r is

A)Greater than 1
B)Equal to 1
C)Less than 1
D)Numerically greater than 1
Question
If a is the first term and r is the common ratio then the nth term of the GP is

A)a(1-r)
B)a (1 -rn)
C)arn-1
D)? 1 ? 1
Question
Find the common ratio of the following 9,6,4

A)3
B)2
C)2/3
D)none
Question
If a b c are in G P then b is

A)ac
B)+2
C)a+ c
D)?
Question
9, 6, 4……………….. is a ……….

A)A.P
B)G.P
C)A.P or G.P
D)None
Question
If 2, x , 8 are the successive terms of a GP.the value of x is

A)5
B)4
C)-4
D)± 4
Question
Common ratio of the G.P. 1, 1/3,1/9,1/27 …………….is

A)3
B)1/3
C)1/6
D)6
Question
The A M of a and b is ……..

A)+2
B)ab
C)a + b
Question
The sum of the value of 1,2,………………20 is

A)500
B)210
C)420
D)520
Question
The sum n term of an A P with first term a and common difference d is

A)Na
B)n/2 [2a +(n-1)d]
C)A + (n-1)d
D)? 1 ? 1
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Deck 3: Understanding Sequences and Arithmetic Progressions
1
A sequence is called infinite if it is not a

A)Finite sequence
B)AP
C)Progressions
D)None
Finite sequence
2
Sequences following specific patterns are called

A)Progressions
B)finite sequence
C)Infinite sequence
D)None
Progressions
3
The various numbers occurring in a sequence are called

A)Progressions
B)Elements
C)Terms
D)None
Terms
4
A sequence containing finite number of terms is called

A)Finite sequence
B)Infinite
C)Terms
D)none
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5
tn in AP is

A)a + (n -1 ) 2d
B)a +(n -1 ) d
C)a + (d -1 ) n
D)none
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6
to find sum of A.P. Sn =

A)n/2 [2a + (n -1)d]
B)n/2 [2a + d]
C)n/2 [2a +(n-1)]
D)None
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7
Find the 7th term of series 1,4,7………………

A)22
B)19
C)16
D)25
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8
Find the 10th term of the series 4, 2, 0, -2………..

A)-12
B)-10
C)-8
D)-14
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9
If 2, 5, 8……….. is A.P the t 20 is

A)60
B)59
C)58
D)None
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10
d of the A.P. 4, -8, -20……..

A)-4
B)12
C)-12
D)-8
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11
d of the A.P. 1,-1,-3,-5,…………….. is

A)1
B)-1
C)-2
D)2
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12
If the Nth term of an A.P. is 4n-1 then the d is

A)3
B)4
C)1
D)0
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13
Given the term in the sequence 1,3,7,15,31 next is …………….

A)62
B)63
C)46
D)66
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14
Find x if the number x ,7,28 from a GP

A)4
B)0
C)7/4
D)4/7
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15
The sum of an in finite G.P. is , where 'r' is

A)Numerically less than 1
B)Equal to 1
C)± 1
D)Any value
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16
Sum of n terms of a G.P is given by where r is

A)Greater than 1
B)Equal to 1
C)Less than 1
D)Numerically greater than 1
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17
If a is the first term and r is the common ratio then the nth term of the GP is

A)a(1-r)
B)a (1 -rn)
C)arn-1
D)? 1 ? 1
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18
Find the common ratio of the following 9,6,4

A)3
B)2
C)2/3
D)none
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19
If a b c are in G P then b is

A)ac
B)+2
C)a+ c
D)?
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20
9, 6, 4……………….. is a ……….

A)A.P
B)G.P
C)A.P or G.P
D)None
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21
If 2, x , 8 are the successive terms of a GP.the value of x is

A)5
B)4
C)-4
D)± 4
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22
Common ratio of the G.P. 1, 1/3,1/9,1/27 …………….is

A)3
B)1/3
C)1/6
D)6
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23
The A M of a and b is ……..

A)+2
B)ab
C)a + b
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24
The sum of the value of 1,2,………………20 is

A)500
B)210
C)420
D)520
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25
The sum n term of an A P with first term a and common difference d is

A)Na
B)n/2 [2a +(n-1)d]
C)A + (n-1)d
D)? 1 ? 1
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