Sequence and Series Quiz 4

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

Online Intermediate Mathematics Part 1 Chapter 6: Sequence and Series Quiz with Answers

1. $\frac{1}{2}, \frac{1}{7}, \frac{1}{12}, \cdots$ is

 
 
 
 

2. If both $x$ & $y$ are positive distinct real numbers, then the G.M. between $x$ and $y$ is

 
 
 
 

3. If A, G, and H are Arithmetic, Geometric, and Harmonic means between two negative numbers, then

 
 
 
 

4. The numbers $a-d$, $a$, $a+d$ are in

 
 
 
 

5. $\Sigma n^2$ is equal to

 
 
 
 

6. If $G_1, G_2, \cdots, G_n$ are $n$ geometric means between $a$ and $b$ then $(G_1 G_2 \cdots G_n)^{\frac{1}{n}}$ is

 
 
 
 

7. If $a_{n-1} = 2n+1$ then $a_n$ is equal to

 
 
 
 

8. The GM between -2 and 8 is

 
 
 
 

9. Fifth term of $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$ is

 
 
 
 

10. $\Sigma n$ is equal to

 
 
 
 

11. If $S_n=(n+1)^2$ then $S_{2n}$ is equal to

 
 
 
 

12. If $a$ and $b$ are two negative numbers, then

 
 
 
 

13. If $a, ar^2, ar^4,\cdots$ form a G.P. then $\frac{1}{a}, \frac{1}{ar^2},  \frac{1}{ar^4}, \cdots$ is

 
 
 
 

14. If $\frac{a^{n+1} + b^{n+1}}{a^n + b^n}$ is A.M. between $a$ and $b$, then $n$ is equal to

 
 
 
 

15. The sum of 5 A.Ms between 2 & 8 is

 
 
 
 

16. The sum of $n$ A.Ms between $a$ and $b$ is equal to

 
 
 
 

17. If $|r|<1$ then $S_n=$

 
 
 
 

18. The general term of an H.P is

 
 
 
 

19. With the usual notation $n$th term of AP is

 
 
 
 

20. If $\frac{a^n + b^n}{a^{n-1} + b^{n-1}}$ is G.M. between $a$ and $b$, then $n$ is equal to

 
 
 
 

21. If $a$ and $b$ are two positive numbers, then

 
 
 
 

22. The general term of a sequence is $(-1)^n n^2$. Its 4th term is

 
 
 
 

23. If $a$ and $b$ have opposite signs then the Geometric mean is

 
 
 
 

24. The $n$th term of AP is

 
 
 
 

25. The harmonic mean between 2 and 8 is

 
 
 
 

26. Harmonic mean between two numbers $a$ and $b$ is

 
 
 
 

27. If A, G, and H are Arithmetic, Geometric, and Harmonic means between two positive numbers, then

 
 
 
 

28. H.M. between -2 and 8 equals

 
 
 
 

29. If $\frac{a^{n+1} + b^{n+1}}{a^n + b^n}$ is H.M. between $a$ and $b$, then $n$ is equal to

 
 
 
 

30. $\Sigma n^3$ is equal to

 
 
 
 

Intermediate Mathematics Sequence and Series Quiz with Answers

Online Intermediate Mathematics Sequence and Series Quiz

  • The general term of an H.P is
  • The harmonic mean between 2 and 8 is
  • If A, G, and H are Arithmetic, Geometric, and Harmonic means between two positive numbers, then
  • If A, G, and H are Arithmetic, Geometric, and Harmonic means between two negative numbers, then
  • If $a$ and $b$ are two negative numbers, then
  • If $a$ and $b$ are two positive numbers, then
  • If $a$ and $b$ have opposite signs then the Geometric mean is
  • If $\frac{a^{n+1} + b^{n+1}}{a^n + b^n}$ is A.M. between $a$ and $b$, then $n$ is equal to
  • If $\frac{a^n + b^n}{a^{n-1} + b^{n-1}}$ is G.M. between $a$ and $b$, then $n$ is equal to
  • If $\frac{a^{n+1} + b^{n+1}}{a^n + b^n}$ is H.M. between $a$ and $b$, then $n$ is equal to
  • If $a, ar^2, ar^4,\cdots$ form a G.P. then $\frac{1}{a}, \frac{1}{ar^2},  \frac{1}{ar^4}, \cdots$ is
  • $\Sigma n$ is equal to
  • $\Sigma n^2$ is equal to
  • $\Sigma n^3$ is equal to
  • If $S_n=(n+1)^2$ then $S_{2n}$ is equal to
  • The sum of $n$ A.Ms between $a$ and $b$ is equal to
  • The sum of 5 A.Ms between 2 & 8 is
  • If both $x$ & $y$ are positive distinct real numbers, then the G.M. between $x$ and $y$ is
  • The numbers $a-d$, $a$, $a+d$ are in
  • If $|r|<1$ then $S_n=$
  • If $a_{n-1} = 2n+1$ then $a_n$ is equal to
  • With the usual notation $n$th term of AP is
  • The GM between -2 and 8 is
  • H.M. between -2 and 8 equals
  • The $n$th term of AP is
  • Fifth term of $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$ is
  • $\frac{1}{2}, \frac{1}{7}, \frac{1}{12}, \cdots$ is
  • If $G_1, G_2, \cdots, G_n$ are $n$ geometric means between $a$ and $b$ then $(G_1 G_2 \cdots G_n)^{\frac{1}{n}}$ is
  • Harmonic mean between two numbers $a$ and $b$ is
  • The general term of a sequence is $(-1)^n n^2$. Its 4th term is

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