## National Camp Exam 2018 P3

Discussion on Bangladesh National Math Camp
Swapnil Barua
Posts: 14
Joined: Tue Apr 13, 2021 2:55 pm

### National Camp Exam 2018 P3

Find x=$\sqrt[]{1+1/1²+1/2²}$ +$\sqrt[]{1+1/2²+1/3²}$...+$\sqrt[]{1+1/2012²+1/2013²}$

~Aurn0b~
Posts: 43
Joined: Thu Dec 03, 2020 8:30 pm

### Re: National Camp Exam 2018 P3

Swapnil Barua wrote:
Tue Apr 20, 2021 9:27 pm
Find x=$\sqrt[]{1+1/1²+1/2²}$ +$\sqrt[]{1+1/2²+1/3²}$...+$\sqrt[]{1+1/2012²+1/2013²}$
$\textbf{Solution}$

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: 208
Joined: Sat Jan 11, 2020 1:38 pm
Location: Dhaka, Bangladesh

### Re: National Camp Exam 2018 P3

Swapnil Barua wrote:
Wed Apr 21, 2021 8:16 am
You did the summation of infinite series?
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

~Aurn0b~
Posts: 43
Joined: Thu Dec 03, 2020 8:30 pm

### Re: National Camp Exam 2018 P3

Swapnil Barua wrote:
Wed Apr 21, 2021 8:16 am
You did the summation of infinite series?
No, Telescoping