Sir\Madam please explain me this question on Arithmetic Progressions!!

Asked by  | 11th Jan, 2010, 02:42: PM

Expert Answer:

Let the four parts be a-3d, a-d, a+d and a+3d.

a-3d + a-d + a+d + a+3d = 20

a = 5.

(a-3d)(a+3d)/((a-d)(a+d)) = 2/3

(a2-9d2)/(a2-d2) = 2/3

(25-9d2)/(25-d2) = 2/3

(25-9d2)= (2/3)(25-d2)

25 - 9d2= 50/3 - 2d2/3

This gives d = ±1,

Hence the four parts are,

2, 4, 6, 8

Regards,

Team,

TopperLearning.

 

 

 

 

Answered by  | 11th Jan, 2010, 03:09: PM

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