MCQs Sequence and Series 2

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


2. A sequence is a function whose domain is


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


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


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


6. Sequence is also called


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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

Try MCQs Multivariate Analysis

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