This post concerns Online MCQs of sequence and series from Mathematics Part I. A sequence is an ordered set of numbers formed according to some definite rule.

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

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

Try MCQs Multivariate Analysis