


Method and examples


Arithmetic Progression 



Problem 7 of 19 


7. For arithemetic progression addition of terms is and their multiplication is , then that numbers










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Arithmetic Progression 
7. For arithemetic progression addition of 3 terms is 27 and their multiplication is 648 , then that numbers
Let the terms are `ad, a, a+d`
Addition of this terms is `27`
`=> (ad) + a + (a+d) = 27`
`=> 3 a = 27`
`=> a = 27/3 = 9`
Multiplication of this terms is `648`
`=> (ad) × a × (a+d) = 648`
`=> (9d) × 9 × (9+d) = 648`
`=> (81  d^2) = 72`
`=> d^2 = 9`
`=> d = + 3`
`d = +3 =>` Required terms : `9  3, 9, 9 + 3 => 6, 9, 12`
`d = 3 =>` Required terms : `9(3), 9, 93 => 12, 9, 6`





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