# 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.

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

1. A sequence is a function whose domain is set of

2. A sequence $\{a_n\}$ in which $a_n-a_n$ is the same number for all $n \in N$, $n>1$, is called

3. A sequence whose range is R i.e. set of real numbers, is called

4. A sequence is also known as

5. If $a_{n-1}, a_n, a_{n+1}$ are in A.P. then $a_n=$?

6. An arrangement of numbers according to some definite rule is called

7. The sum of terms of a sequence is called

8. The general term of an A.P. is

9. Arithmetic mean between $c$ and $d$ is

10. The next term of the sequence $1, 2, 12, 40, \cdots$ is

11. If $n$th term of an A.P. is $3n-1$ then 10th term is

12. If $a_n-a_n-1=n+1$ and $a_4=14$ then $a_5=$?

13. The last term of an infinite sequence

14. If $a_n=n\,a_{n-1}$, $a_1=1$ then $a_4=$?

15. If $a_n=\{n+(-1)^n\}$, then $a_{10}$

16. If $a_{n-2}=3n-11$, then $a_4=$?

17. Forth partial sum of the sequence $\{n^2\}$ is

18. The Arithmetic mean between $\sqrt{2}$ and $3\sqrt{2}$ is

19. If $a_n=5-3n+2n^2$, then $a_{2n}=$?

20. $n$th term of the series $\left(\frac{1}{3}\right)+ \left(\frac{5}{3}\right)^2+\left(\frac{7}{3}\right)^2+\cdots$

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:

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

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 $a_n=\frac{1}{a_1+(n-1)d}$

### 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