\[ x_1x_2\cdots x_8=?\]
Find the Product of the terms of a sequence
Let $x_1=97,x_2=\frac{2} {x_1},x_3=\frac{3} {x_2},x_4=\frac{4} {x_3},\cdots,x_8=\frac{8} {x_7}$
\[ x_1x_2\cdots x_8=?\]
\[ x_1x_2\cdots x_8=?\]
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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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.
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Re: Find the Product of the terms of a sequence
Mine is also 384....
X1 = 97 , X2=97/2 ,X3=291/3 ,X4=12/291 ,X5=1455/12 ,X6=72/1455 ,X7=10185/72 ,X8 = 576/10185
SO,.........................= 97.2/97.291/3.12/291.1455/12.72/1455.10185/72.576/10185
SO,.........................=384
X1 = 97 , X2=97/2 ,X3=291/3 ,X4=12/291 ,X5=1455/12 ,X6=72/1455 ,X7=10185/72 ,X8 = 576/10185
SO,.........................= 97.2/97.291/3.12/291.1455/12.72/1455.10185/72.576/10185
SO,.........................=384
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Re: Find the Product of the terms of a sequence
AIME ই তে কিছু সমস্যা দেয় যেগুলা দেখলে মনে আশা জাগে!
IMO দেখলে কাঁপাকাঁপি শুরু হয়া যায়!
IMO দেখলে কাঁপাকাঁপি শুরু হয়া যায়!
If computers have no doors or fences, who needs Windows and Gates?
Re: Find the Product of the terms of a sequence
1st couple of questions of AIME is pretty doable ,but last 2-3 problems are much more harder
Re: Find the Product of the terms of a sequence
আরে কি কস, আই এম ও আমাদের দেখে কাপে।kamrul2010 wrote:AIME ই তে কিছু সমস্যা দেয় যেগুলা দেখলে মনে আশা জাগে!
IMO দেখলে কাঁপাকাঁপি শুরু হয়া যায়!
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Re: Find the Product of the terms of a sequence
I think it has a better solution.\[x_{1}x_{2}=2;x_{3}x_{4}=4....
\therefore x_{1}x_{2}...x_{8}=2*4*6*8=384
\]
Am i right?
\therefore x_{1}x_{2}...x_{8}=2*4*6*8=384
\]
Am i right?
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )