- 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
Observe the following pattern.
$2^{3}-1^{3}=1+2 \times 1 \times 3$
$3^{2}-2^{3}=1+3 \times 2 \times 3$
$4^{3}-3^{3}=1+4 \times 3 \times 3$
Using this pattern, find the value of each of the following.
$( a).\ 81^{3}-80^{3}$
$( b).\ 100^{3}-99^{3}$
To do: To find the value of each of the following, by using the given pattern:
$( a).\ 81^{3}-80^{3}$ $( b).\ 100^{3}-99^{3}$
Solution:
$( a).\ 81^{3}-80^{3}$
$=1+81\times80\times3$
$=1+19440$
$=19441$
$( b).\ 100^{3}-99^{3}$
$=1+100\times99\times3$
$=1+29700$
$=29701$
Advertisements