This document contains a 20 question quiz on concepts related to sequences and series in mathematics. The questions cover topics such as the definition of a sequence, the general terms of arithmetic progressions, finding specific terms in sequences, and calculating the arithmetic mean, geometric mean, and harmonic mean between numbers. The quiz is composed by Engin Baştürk for the Federal Board and is part of a series of objective questions to test understanding of sequences and series.
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 1
Q1: An arrangement of number formed according to some
definite rule is called:
A) Series B) Polynomial
C) Sequence D) Equation
Q2: A sequence is a function whose domain is the set of:
A) Integers B) Real No.
C) Natural no. D) Even No.
Q3: The sequence whose difference between every two
consecutive terms is a same is called:
A) G.P B) H.P C) Binomial D) A.P
Q4: The general term of .A P is:
A) 1
1
n
na a r
B) 1 1na a n d
C) 1 1na a n d D)
1
2
n
n n
a
Q5: The general term of the sequence 1,1, 1,1,..... is:
A) 1
n
na B) na n
C)
1
1
n
na
D)
1
1
n
na
Q6: The sequence whose general term is
1 2
n
n
n
a
n
is:
A)
1 1
1,0, ,
3 2
B)
1 1
1,0, ,
3 2
C)
1 1
1,0, ,
3 2
D)
1 1
1,0, , ,...
3 2
Q7: The sequence whose general term is
1 1
n
na n is:
A) 2,3, 4,5 B) 2,3, 4,5
C) 2, 3,4,5 D) 2,3,4, 5
Q8: If 1 5a and 3d ,then 10 ?a
A) 30 B) -32 C) 31 D) 32
Q9: If , ,a A b are in A.P , then ?A
A) Geometric Mean B) Arithmetic Mean
C) Harmonic Mean D) None of these
Q10: The .AM between 4 5 & 2 5 is:
A) 2 5 B)
5
3
C) 3 5 D)
6 5
7
2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: The10th
term of the sequence
5
2, ,3,....
2
is:
A)
13
2
B)
13
2
C)
11
2
D)
2
13
Q12: The A.M between 2 3x y and8 5x y is:
A) 5x y B) 3x y C) 5x y D) 3x y
Q13: Which term of the .A P
3 13
,2, ,...
4 4
is
98
4
?
A) 21st
B) 19th
C) 20th
D) 18th
Q14: The 8th
term of A.P
3 13
,2, ,...
4 4
is:
A)
39
4
B)
38
4
C)
37
4
D)
43
4
Q15: The A.M between the two numbers 5 4 and
5 4 is:
A) 5 B) 2 5 C) 4 5 D) 5
Q16: How many terms are in A.P if 30,na 25,d
5a ?
A) 1 B) 2 C) 3 D) 4
Q17: The A.M between a and b is:
A)
2
a b
B)
2ab
a b
C)
2
a b
D) ab
Q18: The H.M between a and b is:
A)
2
a b
B)
2
a b
C)
2
a b
ab
D)
2ab
a b
Q19: The G.M between a and b is:
A) a b B) ab C) a b D)
2
a b
Q20: The Sum of the terms of a sequence is called:
A) Sequence B) Series C) Function D) Fraction
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20