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Odd natural numbers...

This is a discussion on Odd natural numbers... within the Brainteasers forums, part of the Brain Gym category; Consider the pattern shown below: 1 3 5 7 9 11 13 15 17 19 ... which number comes first in the 81st row?...


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  #1 (permalink)  
Old 01-13-2007
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Odd natural numbers...

Consider the pattern shown below:
1
3 5
7 9 11
13 15 17 19
...

which number comes first in the 81st row?
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Old 01-13-2007
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Re: Odd natural numbers...

hi

is it 6641?
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Re: Odd natural numbers...

NO...

James
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Re: Odd natural numbers...

I think the answer is "6481"


explanation

the last number of each row is obtained by a formula


row number* rownumber+the number of terms in prevoius row

eg 2nd row : 2*2+1=5 (5 is last number of sec row)

3rd row: 3*3+ 2=11(11 is the last number of third row)

4 th row 4*4+3 =19(19..................................fourth row)

....

....


80 th row 80*80+79=6479(6479...................80 th row)

therefore fiirst number is 6481


hope iam right?

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Old 01-13-2007
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Re: Odd natural numbers...

Good work buddy...
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Re: Odd natural numbers...

earlier i got the wrong answer

since i found the last number of 81st row

i did 81*81+80=6641.
thats where i did mistake

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