Category: Sequence & Series

This post is about an Online Quiz of sequence and series:

A sequence is an ordered set of numbers formed according to some definite rule.

MCQs about Sequence and Series

1. A sequence is a function whose domain is

 N

 R

 C

 None of these

2. If the domain of a sequence is finite then the sequence is called

 Finite sequence

 Real sequence

 Natural sequence

 Arithmetic sequence

3. If $a_{n-2}=3n-11$ then $n$th term will be

 $ 3n – 9 $

 $ 3n – 13 $

 $ n – 9 $

 $ 3n – 5 $

4. If all the members of a sequence are real numbers then the sequence is called

 Finite sequence

 Arithmetic sequence

 Real seqnece

 Natural sequence

5. The generl term $a_n$ of an A.P. is

 $ a_1 + nd $

 $ a_1 + (n+1)d $

 $ a_1 + (n-1) d $

 $ a_1+d $

6. If $S_2, S_3, S_5$ are the sums of $2n, 3n, 5n$ terms of an A.P. then which one is true

 $ S_3 = 5(S_5-S_2) $

 $ S_2=5(S_3-S_5) $

 $ S_2 =5(S_5-S_3) $

 $ S_5 = 5(S_3-S_2) $

7. The number of terms of the series $-7+(-5)+(-3)+\cdots$ amount to 65

 13

 15

 12

 10

8. The arithmetic mean between 2+\sqrt{2}$ and $2-\sqrt{2}$ is

 $ 2 $

 $ \sqrt{2} $

 0

 4

9. The sequence $1, \frac{3}{2}, \frac{5}{4}, \frac{7}{8}, \cdots $, then $a_7=?$

 $ \frac{15}{128} $

 $ \frac{13}{64} $

 $ \frac{11}{32} $

 None of these

10. The A.M. between $1-x+x^2$ and $1+x-x^2$ is

 4

 2

 1

 0

11. A sequence in which every term after the first can be obtained by adding a fixed number in the preceding term is called

 A.P.

 G.P.

 H.P.

 S.P.

12. Find the number of terms in an A.P. in which $a=3, d=7$, and $a_n=59$

 10

 9

 11

 8

13. If 5, 8 are two A.M. between $a$ and $b$ then $a$ and $b$ are

 $ a=11, b=2 $

 $ a =2, b=11 $

 $ a=2, b=-11$

 $ a=-2,b=11 $

14. The symbol used to represent the sequence $a$ is

 $a_n$

 { $a_n $ }

 a(n)

 { a }

15. If $\frac{1}{a}, \frac{1}{b}$ and D\frac{1}{c}$ are in A.P. then which one is true:

 $ b = \frac{2ac}{a+c} $

 $ c= \frac{2ab}{a+b} $

 $ a = \frac{2bc}{b+c} $

 None of these

16. Which of the following cannot be the term of sequence 17, 13, 9, …

 $ -19 $

 $ 5 $

 $ 2 $

 $ 1 $

17. If in an A.P. $a_5=13$ and $a_17=49$, then $a_15=?$

 37

 35

 40

 30

18. Sequence is also called

 Series

 Progression

 Mean

 None of these

19. The $n$th A.M. between $a$ and $b$ is

 $A_n = \frac{na+b}{n-1} $

 $A_n = \frac{a+nb}{n-1} $

 $A_n = \frac{na+b}{n+1} $

 $A_n = \frac{a+bn}{n+1} $

20. The sum of the series $-3+(-1)+(1) +3+5 +\cdots+ a_{16}$ is

 190

 192

 290

 None of these

 Loading …

A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, the sequence is denoted by $\{a_n\}$ where $n\in N$.

Let us try an Online Quiz about sequence and series:

Some examples of sequence are:

• $1,2,3,\cdots$
• $2, 4, 6, 8, \cdots$
• $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$

The term $a_n$ is called the general term or $n$th term of a sequence. If all numbers of a sequence are real numbers then it is called a real sequence. If the domain of a sequence is a finite set, then the sequence is finite otherwise the sequence is an infinite sequence. An infinite sequence has no last term.

If the terms of a sequence follow a certain pattern, then it is called a progression:

• Arithmetic Progression (AP)
  A sequence $\{a_n\}$ is an Arithmetic Sequence or Arithmetic Progression if the difference $a_n – a_{n-1}$ is the same for all $n \in N$ and $n>1$.
• Geometric Progression (GP)
  A sequence $\{a_n\}$ in which $\frac{a_n}{a_{n-1}}$ is same non-zero number for al l$n\in N$ and $n>1$ is called Geometric Sequence or Geometric Progression.
• Harmonic Progression (HP)
  A Harmonic Progression is a sequence of numbers whose reciprocals form an Arithmetic Progression. A general form of Harmonic Progression is $\frac{1}{a_1}, \frac{1}{a_1+d}, \frac{1}{a_1+2d}, \cdots$, where $a_n=\frac{1}{a_1+(n-1)d}$

An online quiz about Computer

This post is about an Online Quiz of sequence and series:

A sequence is an ordered set of numbers formed according to some definite rule.

Please go to Sequence and Series-1 to view the test

A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, a sequence is denoted by $\{a_n\}$ where $n\in N$.

Let us try an Online Quiz about sequence and series:

Some examples of sequence are:

• $1,2,3,\cdots$
• $2, 4, 6, 8, \cdots$
• $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$

The term $a_n$ is called the general term or $n$th term of a sequence. If all numbers of a sequence are real numbers then it is called a real sequence. If the domain of a sequence is a finite set, then the sequence is finite otherwise the sequence is an infinite sequence. An infinite sequence has no last term.

If the terms of a sequence follow a certain pattern, then it is called a progression:

• Arithmetic Progression (AP)
  A sequence $\{a_n\}$ is an Arithmetic Sequence or Arithmetic Progression if the difference $a_n – a_{n-1}$ is the same for all $n \in N$ and $n>1$.
• Geometric Progression (GP)
  A sequence $\{a_n\}$ in which $\frac{a_n}{a_{n-1}}$ is same non-zero number for al l$n\in N$ and $n>1$ is called Geometric Sequence or Geometric Progression.
• Harmonic Progression (HP)
  A Harmonic Progression is a sequence of numbers whose reciprocals form an Arithmetic Progression. A general form of Harmonic Progression is $\frac{1}{a_1}, \frac{1}{a_1+d}, \frac{1}{a_1+2d}, \cdots$, where $a_n=\frac{1}{a_1+(n-1)d}$

An online quiz about Computer