National Camp Exam 2018 P3
- Swapnil Barua
- Posts:14
- Joined:Tue Apr 13, 2021 2:55 pm
Find x=$\sqrt[]{1+1/1²+1/2²}$ +$\sqrt[]{1+1/2²+1/3²}$...+$\sqrt[]{1+1/2012²+1/2013²}$
Re: National Camp Exam 2018 P3
$\textbf{Solution}$Swapnil Barua wrote: ↑Tue Apr 20, 2021 9:27 pmFind x=$\sqrt[]{1+1/1²+1/2²}$ +$\sqrt[]{1+1/2²+1/3²}$...+$\sqrt[]{1+1/2012²+1/2013²}$
- Swapnil Barua
- Posts:14
- Joined:Tue Apr 13, 2021 2:55 pm
Re: National Camp Exam 2018 P3
You did the summation of infinite series?
- Mehrab4226
- Posts:230
- Joined:Sat Jan 11, 2020 1:38 pm
- Location:Dhaka, Bangladesh
Re: National Camp Exam 2018 P3
No, he did the sum of $\frac{1}{n}-\frac{1}{n+1}$. He probably used Telescoping to find that.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré
Re: National Camp Exam 2018 P3
No, Telescoping