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Question
The population of cattle in a farm increase so that the difference between the population in year n+2 and that in year n is proportional to the population in the year n+1 .If the populations in year 2010,2011 and 2013 were 39,60 and 123 respectively,then the population in 2012 was
The population of cattle in a farm increase so that the difference between the population in year n+2 and that in year n is proportional to the population in the year n+1 .If the populations in year 2010,2011 and 2013 were 39,60 and 123 respectively,then the population in 2012 was
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Solution
The correct option is B 84
year Year Population 2010 39 2011 60 2012 x 2013 123
According to Q
x-39=k(60) & 63=kr
⇒x−39=63x.63
⇒x2−39x=−(60)(63)=0
x=84 & -40
year
| Year | Population |
| 2010 | 39 |
| 2011 | 60 |
| 2012 | x |
| 2013 | 123 |
x-39=k(60) & 63=kr
⇒x−39=63x.63
⇒x2−39x=−(60)(63)=0
x=84 & -40
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