Question

the. product of three no in GP is 216 if 2,8,6 is addeed to them then it's form an ap

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Answer 1

Step-by-step explanation:

Let the three terms of G.P be

r

a

,a,ar

Common ratio =r

Given :

r

a

×a×ar=216

⇒a

3

=216=6

3

∴a=6

Now,

r

a

×a+a×ar+ar×

r

a

=156 .... [Given]

⇒a

2

(r+1+

r

1

)=156

⇒36(r+1+

r

1

)=156

3r

2

+3r+3=13r

3r

2

−10r+3=0

⇒r=3,

3

1

Let us take r=3

The, the numbers are

3

6

,6,6.3 i.e. 2,6,18