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Which one is bigger?
Posted: Thu Dec 30, 2010 10:54 pm
by prodip
Which one is bigger?
\[2003^{100} or 2002^{100}+2002^{99}\]
Re: Which one is bigger?
Posted: Fri Dec 31, 2010 1:26 pm
by confused
ans ki 1st ta?
Re: Which one is bigger?
Posted: Fri Dec 31, 2010 2:36 pm
by Avik Roy
@confused, please show your logic behind your assumption...
Re: Which one is bigger?
Posted: Sat Jan 01, 2011 12:52 am
by atiqur_jhe
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.
Re: Which one is bigger?
Posted: Sat Jan 01, 2011 9:34 pm
by atiqur_jhe
Avik roy da tell me that am i right or not. Reply soon
Re: Which one is bigger?
Posted: Sat Jan 01, 2011 9:48 pm
by Avik Roy
yes, you are correct
Re: Which one is bigger?
Posted: Sun Jan 02, 2011 3:19 am
by Moon
just take $2002^{99}$ in common...you don't need binomial theorem.
Re: Which one is bigger?
Posted: Sun Jan 02, 2011 6:42 pm
by prodip
Tnx everyone.There is another problem.
Which one is bigger?
\[100^{^{300}} or 300!\]
Re: Which one is bigger?
Posted: Wed Jan 05, 2011 6:57 pm
by kamrul2010
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?