- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Find:9th term of the A.P. $\frac{3}{4}, \frac{5}{4}, \frac{7}{4}, \frac{9}{4}, ………$
Given:
Given A.P. is $\frac{3}{4}, \frac{5}{4}, \frac{7}{4}, \frac{9}{4}, ………$
To do:
We have to find the 9th term of the given A.P.
Solution:
Here,
$a_1=\frac{3}{4}, a_2=\frac{5}{4}, a_3=\frac{7}{4}, a_4=\frac{9}{4}$
Common difference $d=a_2-a_1=\frac{5}{4}-\frac{3}{4}=\frac{5-3}{4}=\frac{2}{4}$
We know that,
nth term $a_n=a+(n-1)d$
Therefore,
9th term $a_{9}=\frac{3}{4}+(9-1)\frac{2}{4}$
$=\frac{3}{4}+8\times\frac{2}{4}$
$=\frac{3}{4}+\frac{16}{4}$
$=\frac{3+16}{4}$
$=\frac{19}{4}$
The 9th term of the given A.P. is $\frac{19}{4}$.   
Advertisements