Maths Quiz- Unit 2. Sequences And Series Of Real Numbers
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An arithmetic sequence of numbers is such that the difference between two progressive numbers is the same or follows a particular pattern. Having covered some of the mathematics problems on this it is now time for a quick quiz. Give it a try and you are only allowed twenty minutes.
- 1.which one of the following is not true
- A.
Every function represents a sequence
- B.
A sequence `is a real valued function defined on N
- C.
A sequence may have infinitely many terms
- D.
A sequence may have a finite number of terms
- 2.The 8 th term of the sequence 1,1,2,3,5,8,,..........is
- A.
21
- B.
25
- C.
24
- D.
23
- 3.
- A.
1/30
- B.
1/24
- C.
1/22
- D.
1/18
- 4.
If a , b,c are in AP then is equal to
- A.
1
- B.
A/c
- C.
B/c
- D.
A/b
- 5.If a,b,c,l,m are in AP then the value of a-4b+6c-4l+m is
- A.
0
- B.
1
- C.
2
- D.
3
- 6.If the n th term of a sequence is 100n+10 then the sequence is
- A.
an AP
- B.
A GP
- C.
A constant sequence
- D.
Neither AP nor GP
- 7.
then the 13 th term of the AP is (1) 0 (2) 3/2 (3) 12 (4) 14
- A.
(1)
- B.
(4)
- C.
(3)
- D.
(2)
- 8.
is
- A.
An AP
- B.
A GP
- C.
Neither AP nor GP
- D.
A constant sequence
- 9.If k+2 , 4k-6 , 3k-2 are the three consecutive terms of an AP , then the value of k is
- A.
3
- B.
2
- C.
5
- D.
4
- 10.If a,,b,c, l,m,n , are in AP ., then 3a+7 , 3b+7 , 3c+7 , 3l+7 , 3m+7 , 3n+7 form
- A.
an AP
- B.
A GP
- C.
A constant sequence
- D.
Neither AP nor GP
- 11.
If the third term of a G.P is 2 , then the product of first 5 terms is (1) (2) 10 (3) (4) 15
- A.
(1)
- B.
(3)
- C.
(2)
- D.
(4)
- 12.
If a , b , c are in G.P then is equal to
- A.
A/b
- B.
B/a
- C.
A/c
- D.
C/b
- 13.If x , 2x+2 , 3x+3 , are in G.P then 5x , 10x+10 , 15x+15 form
- A.
a G.P
- B.
An AP
- C.
A constant sequence
- D.
Neither A.P nor G.P
- 14.The sequence -3 , -3 , -3 , ....... is
- A.
Both A.P and G.P
- B.
An A.P only
- C.
A G.P only
- D.
Neither A.P nor G.P
- 15.If the product of the first four consecutive terms of a G.P is 256 and if thye common ratio is 4 and the first term is positive , then its 3 rd term is
- A.
16
- B.
1/16
- C.
1/32
- D.
8
- 16.
In a G.P and then the common ratio is
- A.
1/3
- B.
1/5
- C.
1
- D.
5
- 17.
If x # 0 then , +x + is equal to (1) () (2) (3) (4)
- A.
(2)
- B.
(1)
- C.
(3)
- D.
(4)
- 18.
(1) (2) (3) (4)
- A.
(1)
- B.
(4)
- C.
(3)
- D.
(2)
- 19.
(1) (2) (3) (4)
- A.
(2)
- B.
(1)
- C.
(4)
- D.
(3)
- 20.
If 1+2+3+....... +n = k then + +..........+ is equal to (1) (2) ( 3) (4)
- A.
(1)
- B.
(4)
- C.
(2)
- D.
(3)
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