Question

The product of three numbers in G.P. is 216 and sum of their squares is 651. Find the numbers.​

Answer 1

Answer:

Let the three terms of G.P be

ra,a,ar

Common ratio =r

Given :

raa×a×ar=216

⇒a

3=216=63

∴a=6

Now,

ra ×a+a×ar+ar×ra =156 .... [Given]

⇒a

2 (r+1+ r1 )=156

⇒36(r+1+ r1 )=156

3r2 +3r+3=13r

3r 2 −10r+3=0

⇒r=3, 31

Let us take r=3

The, the numbers are

36 ,6,6.3 i.e. 2,6,18

Step-by-step explanation:

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