Question

The product of first three terms of a G.P is 1000.If 6 is added to its second term and 7 added to its third term ,the terms become in A.P .Find the G.P

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Answer 1

Answer:

what happens dear

batao

Answer 2

Answer:

Let the three numbers be a/r , a, ar.

a/r × a× ar = 1000

a^3 =1000

a = 10

According to the question ,

a/ r ,a+6, ar +7 form an ap

So, 2b = a+ c in an ap

2(a+6)=a/ r + ( ar + 7)

2(10+6)= 10/r + (10r+7)

2(16) = 10/r +10r+7

32–7= 10/r + 10r

25=10/r+ 10r

5= 2/r + 2 r

5r= 2+2r^2

2r^2–5r +2

On factorising the equation we get

r = 1/2 or r= 2

So ,if r= 1/2 ,

The gp is 20, 10,5

If r= 2,

The gp is 5,10,20

I hope it will help uh