Math, asked by sowmya71915, 3 months ago

if 3x-4,x+4,5x+8 are three consecutive numbers of G.P then terms are plz don't spam​

Answers

Answered by banerjeebiswarup857
2

Answer:

Step-by-step explanation:

To be a geometric sequence, consecutive terms must have a common ratio.

(x+4)/(3x−4)=(5x+8)/(x+4)

(x+4(x+4)=(3x−4)(5x+8)

x2+8x+16=15x2+4x−32

−14x2+4x+48=0

−2(7x2−2x−24)=0  

−2(7x+12)(x−2)=0

{-12/7, 2} 2 is the only positive solution

The sequence is 2, 6, 18.

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