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1.Hi,
Could someone please do this for me? Also, does anyone know where this question is from?
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Thanks
yeh good solution(i) ln(6!)>6 so true for S(6)
Assume S(n) true. ie. ln(n!)>n
Consider S(n+1):
ln(n+1)!
=ln[(n+1)n!]
=ln(n+1)+ln(n!)
>ln(n+1)+n
>n+1 since ln(n+1)>1 for n>6
S(n+1) is true if S(n) is true but S(6) is true so it is true for n>=6
(ii) ln(n!)>n
n!>e^n
(1/(n!))<(1/e^n)
(iii) [(1/1!)+(1/2!)+(1/3!)+(1/4!)+(1/5!)] + (1/6!)+...
<[103/60] + (1/e^6) + (1/e^7) + ...
<[103/60] + (1/e^6)/(1-(1/e)) using limiting sum of GP starting term (1/e^6)
=(103/60) + 1/(e^5(e-1))
rule number 1: never happy over a maths question :rofl:yeh good solution
lol when i did it i wasnt gettin the 103/60 on the RHS in (iii)
and it was pissing me off
then i realised it was for n>6 and i was happy XDD lol
hahahaha sorry i shall correct myselfrule number 1: never happy over a maths question :rofl:
hahahaha sorry i shall correct myself
"i felt a little better, but still heavily pissed off at the fact that i was doing math"
is that better? lol
hahahaha sorry i shall correct myself
"i felt a little better, but still heavily pissed off at the fact that i was doing math"
is that better? lol
lol you are the one who posted up the question..Thanks,
Is this a CSSA question?
lol and thats the part where i took longest onthe last part of that question is just stupid...lol
<TABLE class=tborder style="BORDER-TOP-WIDTH: 0px" cellSpacing=1 cellPadding=3 width="100%" align=center border=0><TBODY><TR title="Post 4268508" vAlign=top><TD class=alt2 align=middle width=125>2 posts later...</TD><TD class=alt1>Thanks,
Is this a CSSA question?
he didn't say it was a CSSA question, just that he saw it other papers and presumed that it must've come from some company that several schools would have (e.g. Neap or CSSA in this case)<table class="tborder" style="border-top-width: 0px;" width="100%" align="center" border="0" cellpadding="3" cellspacing="1"><tbody><tr title="Post 4268508" valign="top"><td class="alt2" width="125" align="middle">2 posts later...</td><td class="alt1">
<hr style="color: rgb(209, 209, 225); background-color: rgb(209, 209, 225);" size="1">Yeah, it's from last year's half yearly examination paper (my school's) but I have seen it in other trials, so I'm sure the teacher got it from somewhere.
Apparantly like nobody got it correct, lol. </td></tr></tbody></table>
I wonder, Why did you ask if it was a CSSA question if you already knew it was?