Question

the product of three numbers in GP is 125 and sum of their products taken in pair is 87/2 find them​

Answer 1

Answer:

Step-by-step explanation:

Let the numbers in G.P are,    

r

a

​  

,a,ar

⇒a=5

Also,  a  

2

(  

r

1

​  

.1+1.r+r.  

r

1

​  

)=  

2

175

​  

 

or

25(r  

2

+r+1)=  

2

175

​  

r

or 2(r  

2

+r+1)=7r

or  2r  

2

−5r+2=0

or  (r−2)(2r−1)=0

∴r=2,  

2

1

​  

 

Hence the numbers are 10,5,5/2 or 5/2,5,10

Answer 2

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