Sequence and Series Quizzes

This post is about all the Online Quizzes related to Sequence and Series from the Mathematics Book of Part I (First Year). Click the links below to start with Online MCQs Sequence and Series Quizzes.

MCQs Sequence and SeriesMCQs Sequence and SeriesMCQs Sequence and Series 4
MCQs Sequence and Series 3MCQs Sequence and Series 2MCQs Sequence and Series 1

A sequence is an ordered set of numbers formed according to some definite rule. 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 $n\in N$.

MCQs Sequence and Series Mathematics Class 11

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, 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 infinite. 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 $a_n=\frac{1}{a_1+(n-1)d}$
Sequence and Series

An online quiz about Computer

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Important MCQs Sequence and Series 2

This post is about an Online Quiz on sequence and series from First Year Mathematics. A sequence is an ordered set of numbers formed according to some definite rule. Let us start with the Sequence and Series Quiz.

MCQs Mathematics covers the topic of the Number system for the preparation of Intermediate mathematics.

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

15. Sequence is also called

 
 
 
 

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

 
 
 
 

17. A sequence is a function whose domain is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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 $n\in N$.

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 infinite. 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 $a_n=\frac{1}{a_1+(n-1)d}$
Sequence and Series

MCQs Sequence and Series with Answers

  • Sequence is also called
  • A sequence is a function whose domain is
  • If all the members of a sequence are real numbers then the sequence is called
  • The symbol used to represent the sequence $a$ is
  • If the domain of a sequence is finite then the sequence is called
  • A sequence in which every term after the first can be obtained by adding a fixed number in the preceding term is called
  • The generl term $a_n$ of an A.P. is
  • If in an A.P. $a_5=13$ and $a_17=49$, then $a_15=?$
  • If $a_{n-2}=3n-11$ then $n$th term will be
  • The sequence $1, \frac{3}{2}, \frac{5}{4}, \frac{7}{8}, \cdots $, then $a_7=?$
  • Which of the following cannot be the term of sequence 17, 13, 9, …
  • If $\frac{1}{a}, \frac{1}{b}$ and D\frac{1}{c}$ are in A.P. then which one is true:
  • Find the number of terms in an A.P. in which $a=3, d=7$, and $a_n=59$
  • The $n$th A.M. between $a$ and $b$ is
  • The A.M. between $1-x+x^2$ and $1+x-x^2$ is
  • If 5, 8 are two A.M. between $a$ and $b$ then $a$ and $b$ are
  • The arithmetic mean between 2+\sqrt{2}$ and $2-\sqrt{2}$ is
  • The sum of the series $-3+(-1)+(1) +3+5 +\cdots+ a_{16}$ is
  • The number of terms of the series $-7+(-5)+(-3)+\cdots$ amount to 65
  • If $S_2, S_3, S_5$ are the sums of $2n, 3n, 5n$ terms of an A.P. then which one is true

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Important MCQS Sequence and Series 1 Class 11

This post concerns the Online MCQs sequence and series from Mathematics Part I. A sequence is an ordered set of numbers formed according to some definite rule. Let us with MCQs Sequence and Series, mathematics Class 11 Quiz with answers.

Please go to Important MCQS Sequence and Series 1 Class 11 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 $n\in N$.

Some examples of sequence are:

  • $1,2,3,\cdots$
  • $2, 4, 6, 8, \cdots$
  • $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$
MCQs Sequence and Series Mathematics Class 11

The term $a_n$ is called the general term or $n$th term of a sequence. If all numbers of a sequence are real, 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 infinite. 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 $a_n=\frac{1}{a_1+(n-1)d}$
Sequence and Series

MCQs Sequence and Series Mathematics Class 11

  • An arrangement of numbers according to some definite rule is called
  • A sequence is also known as
  • A sequence is a function whose domain is a set of
  • A sequence whose range is R i.e. set of real numbers is called
  • If $a_n={n+(-1)^n}$, then $a_{10}$
  • The last term of an infinite sequence
  • The next term of the sequence $1, 2, 12, 40, \cdots$ is
  • If $a_n-a_n-1=n+1$ and $a_4=14$ then $a_5=$?
  • If $a_n=n\,a_{n-1}$, $a_1=1$ then $a_4=$?
  • A sequence ${a_n}$ in which $a_n-a_n$ is the same number for all $n \in N$, $n>1$, is called
  • The general term of an A.P. is
  • If $a_n=5-3n+2n^2$, then $a_{2n}=$?
  • If $a_{n-2}=3n-11$, then $a_4=$?
  • If $n$th term of an A.P. is $3n-1$ then 10th term is
  • $n$th term of the series $\left(\frac{1}{3}\right)+ \left(\frac{5}{3}\right)^2+\left(\frac{7}{3}\right)^2+\cdots$
  • Arithmetic mean between $c$ and $d$ is
  • If $a_{n-1}, a_n, a_{n+1}$ are in A.P. then $a_n=$?
  • The Arithmetic mean between $\sqrt{2}$ and $3\sqrt{2}$ is
  • The sum of terms of a sequence is called
  • Forth partial sum of the sequence ${n^2}$ is

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