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![[Post New]](/templates/default/images/icon_minipost_new.gif) 15 Mar 2008 14:13:41 IST
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n=1 99 n! ( n 2 + n +1 ) is equal to ? ans: 100*(100!) -1
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15 Mar 2008 14:17:34 IST
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telesopic sum only make it n!(n+1)^2 - n!*n = (n+1)! * (n+1) - n!n = 100 * 100! - 1
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15 Mar 2008 14:17:36 IST
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Hint: write n2+n as n(n+1). Mistimed
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Time wounds all heels |
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15 Mar 2008 14:18:25 IST
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but sir you dont get a telescopic sum
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15 Mar 2008 14:22:43 IST
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Sorry I had in mind sth like n.n!
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Time wounds all heels |
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15 Mar 2008 14:23:27 IST
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sandeepramesh cudnt understand the final step..pls explain in detail..
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15 Mar 2008 14:25:33 IST
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the final step is the telescopic sum step n all the terms of (n+1)(n+1)! and n!n get cancelled except the first term of n!n and last term of (n+1)!(n+1) If you cant understand nemore ask hsbhatt sir who's an excellent teacher n an expert
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15 Mar 2008 14:27:10 IST
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fine fine...was unable to understand the term telescopic sum..
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15 Mar 2008 15:31:17 IST
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this can be done in this way n! (n2+n+1) =n! ((n+1)2-n) now keep on substituting values till 1 to 99 ie n=1---- 2*2! - 1*1! n=2 + 3*3!- 2*2! n=3 + 4*4!-3*3! + ............... and so on n=98 + 99*99! - 98*98! n=99 + 100*100!- 99*99! all terms are cancelled except 100*100! - 1
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I WAS BORN INTELLIGENT!!!!!!!
EDUCATION RUINED ME
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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15 Mar 2008 15:34:58 IST
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plz rate IF USEFUL
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I WAS BORN INTELLIGENT!!!!!!!
EDUCATION RUINED ME
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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15 Mar 2008 15:35:49 IST
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Plz dont rate if useful, thats the new policy here :P
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15 Mar 2008 15:41:22 IST
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HaHaHa!!!!!!!!!!!!!!!!!!!!!
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I WAS BORN INTELLIGENT!!!!!!!
EDUCATION RUINED ME
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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15 Mar 2008 15:53:12 IST
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Yes boo hoo   
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15 Mar 2008 16:13:49 IST
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HEY!! these pics of urs are great..r u owez like this ..keep this spirit goin
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