Mathematics Part1

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.

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

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The Post is about the MCQs Number System from Mathematics of Intermediate Part-I (First Year). Let us start with the Online MCQS Number System with Answers.

Please go to Important MCQs Number System 1 to view the test

A numeral system is a way of expressing numbers; that is, it is a mathematical writing system or notation used to represent the numbers of a given set consistently by using either digits or other symbols. The same sequence of symbols may represent different numbers in different numeral systems.

Decimal Number System

The commonly used number system is the decimal positional numeral system. The decimal refers to 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 to construct all numbers. In the decimal number system, there are a total of ten numbers/symbols. All other numbers such as 10, 11, 12, …, are all made from these 10 symbols/numbers.

In mathematics courses you have heard about number systems of whole numbers and real numbers, however, in the context of computer systems, the other types of number systems are (i) The decimal number system (Ten symbols or numbers), (ii) The binary number system (two symbols or numbers), (iii) The octal number system (eighth numbers of symbols) and, (iv) The hexadecimal number system (sixteen numbers or symbols).

MCQs Number System

• For any complex number $z$, it is always true that $|z|$ is equal to
• If $z_1$ and $z_2$ are any two complex numbers, then
• If $z_1$ and $z_2$ are two complex number then
• The numbers which can be put in the form $\frac{p}{q}\,\,$ $p, q \in Z$, $q \ne 0$ are
• The numbers that cannot be written in the form of $\frac{p}{q}\,\,$ $p,q\in Z\,$, $q\ne 0$ are
• A decimal which has only finite numbers of digits in its decimal part is called
• A decimal in which one or more digits repeat indefinitely in its decimal part is called
• Every recurring decimal is
• A Non terminating and a non-recurring decimal is
• 5.333 is
• $\pi$ is
• $\frac{22}{7}$ is
• $\pi$ is the ratio
• Every Integer is also a
• If $n$ is a Prime Number, then $\sqrt{n}$ is
• If $n$ is a negative number then $\sqrt{n}$ is
• The Number ‘0’ is
• The Number ‘0’ is
• If $a, b \in R$ and $(a+b)\in R$ then this property of real numbers is
• For $a,b\in R$ if $a+b=b+a$, then this property is called

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MCQs about Basic Statistics

The Post is about the Number System Quiz from Mathematics of Intermediate Part-I (First Year). There are 20 multiple-choice questions about the Number System. Let us start with the Online Number System Quiz with Answers.

Please go to Number System Quiz 2 to view the test

A numeral system is a way of expressing numbers; that is, it is a mathematical writing system or notation used to represent the numbers of a given set consistently by using either digits or other symbols. The same sequence of symbols may represent different numbers in different numeral systems.

Number System as Decimal System

The commonly used number system is the decimal positional numeral system. The decimal refers to 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 to construct all numbers.

In mathematics courses you have heard about number systems of whole numbers and real numbers, however, in the context of computer systems, the other types of number systems are (i) The decimal number system, (ii) The binary number system, (iii) The octal number system and, (iv) The hexadecimal number system.

MCQs Number System Quiz

• The multiplicative inverse of 0 is
• If $a$ is any non-zero real number, then its multiplicative inverse is
• For all $a\in R$, $a=a$ is _________ property
• For all $a,b \in R$, $a=b \Rightarrow b=a$ is called property
• For $a,b,c \in R$ if $a=b, b=c \Rightarrow a=c$, then it is property
• For $a,b,c \in R$, $a=b \Rightarrow a+c=b+c$, then it is property
• For $a,b,c \in R$, $a+c=b+c \Rightarrow a=b$, then it is property
• For $a,b,c \in R$, $a=b\Rightarrow ac=bc$, then it is _ property
• For $a,b,c \in R$, and $a>b, b>c \Rightarrow a>c$, then it is property
• For $a,b,c \in R$, if $a0$, then which one is true
• For $a,b,c \in R$, if $a>b$ and $c<0$, then If $a>0$ and $b<0$, then
• The set ${1,-1}$ is closed with respect to
• The set ${1}$ has closure property with respect to
• $a(b+c-d)=ab+ac-ad$ is property
• If $ a < b $ then
• If $\frac{a}{b}=\frac{ka}{kb}$, $k\ne 0$, this rule is called
• If $n$ is an even integer, then $(i)^n$ is equal to
• If $n$ is an odd number then $(i)^n$ is equal to
• If $n$ is an integral multiple of 4, then $(i)^n$ is equal to

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