Which one is bigger?

Forum rules
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
prodip
Posts:27
Joined:Sun Dec 19, 2010 1:24 pm
Which one is bigger?

Unread post by prodip » Thu Dec 30, 2010 10:54 pm

Which one is bigger?
\[2003^{100} or 2002^{100}+2002^{99}\]

confused
Posts:11
Joined:Wed Dec 22, 2010 6:34 pm

Re: Which one is bigger?

Unread post by confused » Fri Dec 31, 2010 1:26 pm

ans ki 1st ta?
nafisa

User avatar
Avik Roy
Posts:156
Joined:Tue Dec 07, 2010 2:07 am

Re: Which one is bigger?

Unread post by Avik Roy » Fri Dec 31, 2010 2:36 pm

@confused, please show your logic behind your assumption...
"Je le vois, mais je ne le crois pas!" - Georg Ferdinand Ludwig Philipp Cantor

atiqur_jhe
Posts:13
Joined:Tue Dec 14, 2010 11:49 am
Location:Jhenidah

Re: Which one is bigger?

Unread post by atiqur_jhe » Sat Jan 01, 2011 12:52 am

I think 1st ta karon (2003)^100=(2002+1)^100=2002^100+100.2002^99+.....+1^100(binomial theorem use korlam) and u can see that 1st ta boro.

atiqur_jhe
Posts:13
Joined:Tue Dec 14, 2010 11:49 am
Location:Jhenidah

Re: Which one is bigger?

Unread post by atiqur_jhe » Sat Jan 01, 2011 9:34 pm

Avik roy da tell me that am i right or not. Reply soon

User avatar
Avik Roy
Posts:156
Joined:Tue Dec 07, 2010 2:07 am

Re: Which one is bigger?

Unread post by Avik Roy » Sat Jan 01, 2011 9:48 pm

yes, you are correct :)
"Je le vois, mais je ne le crois pas!" - Georg Ferdinand Ludwig Philipp Cantor

User avatar
Moon
Site Admin
Posts:751
Joined:Tue Nov 02, 2010 7:52 pm
Location:Dhaka, Bangladesh
Contact:

Re: Which one is bigger?

Unread post by Moon » Sun Jan 02, 2011 3:19 am

just take $2002^{99}$ in common...you don't need binomial theorem. ;)
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.

prodip
Posts:27
Joined:Sun Dec 19, 2010 1:24 pm

Re: Which one is bigger?

Unread post by prodip » Sun Jan 02, 2011 6:42 pm

Tnx everyone.There is another problem.
Which one is bigger?
\[100^{^{300}} or 300!\]

kamrul2010
Posts:120
Joined:Wed Dec 08, 2010 2:35 am
Location:Dhaka,Bangladesh
Contact:

Re: Which one is bigger?

Unread post by kamrul2010 » Wed Jan 05, 2011 6:57 pm

দুইটাই কমন পড়সে!

কথা হইলো, এই জিনিসগুলার ক্ষেত্রে একটা ধান্দাবাজি করা যায়!

লগারিদম এর মান পরিবর্তনের হারের উপর ধারণা থাকলে মোটামুটি বলা যায়!

@মুন - তুমি তো মনে হয় ক্যালকুলেটর ছাড়া বলতে পারো, নাকি?
If computers have no doors or fences, who needs Windows and Gates?

Post Reply