The sum of the first three numbers in an Arithmetic Progression is 18. If
the product of the first and the third term is 5 times the common
difference, find the three numbers.
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The sum of the first three numbers in an Arithmetic Progression is 18. If
the product of the first and the third term is 5 times the common
difference, find the three numbers.
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Step-by-step explanation:
let first number be a
2nd a+d 3rd a+2d where d is common difference of AP
then ATQ
a+ a+d+a+2d=18
3a+3d=18
a+d=9..........1
(a)(a+2d)=5d
a(a+d+d)=5d
a(d+9)=5d
ad+9a=5d ............2
now you have 2 equation and two unknown
calculate it by your own