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Algebra

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 Joined: 16 Aug 2011 Post: 7
10 Dec 2011 15:34:23 IST
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Find the 10th term of the given sequence, 5/34, 5/32, 5/30,...............
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

Find the 10th term of the given sequence, 5/34, 5/32, 5/30,...............

New kid on the Block

Joined: 28 Aug 2011
Posts: 7
10 Dec 2011 21:20:37 IST
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take 5 common5(1/34,1/32.........)now inside the bracket we see a HPtherefore answer is 5/26.waise 10 term hi toh nikalna tha likh deta wahan tak kya yaar.

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Joined: 19 Mar 2011
Posts: 74
10 Dec 2011 22:19:51 IST
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5/16 :P

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Joined: 11 Dec 2011
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11 Dec 2011 15:09:28 IST
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ans=5/16

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Joined: 21 Jul 2011
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11 Dec 2011 15:15:05 IST
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5/16

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Joined: 16 Aug 2011
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13 Dec 2011 14:55:48 IST
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Thanks boss..........

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Joined: 19 Feb 2009
Posts: 1958
13 Dec 2011 15:54:17 IST
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As it is clear by looking at the sequesnce that there is now change in numerator ..only denominator is decreasing with a common difference of 2 ..

So the 10th term can be imagined as  5/n
Where n is some number which we have to find out..

Since the denominator is generating a sequence  34 32 30 ..... which is in AP with common difference of -2
So n (which is 10th term) = a + 9 d ( a is first term and d is common difference)
Hence ... n = 34 -9(2)
hence n = 16

So the 10th term comes out to be = 5/16

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