Math, asked by venkatpramod856, 9 months ago

Find X so that X, X +5, x+15 are consecutive terms of GP

Answers

Answered by haritha574
1

Answer:

  • x, x+5,x+15 are in gp progression
  • that there common ratio is equal
  • common ratio =r= a2/a1= a3/a2
  • a1 = x
  • a2 = x+5
  • a3=x+15
  • x+5/x=x+15/x+5
  • cross multiplication
  • x+5(x+5)=x(x+15)
  • x2+10x+25=x2+15x
  • x2+10x+25-x2=15x
  • 10x+25=15x
  • 15x=25+10x
  • 15x-10x=25
  • 5x=25
  • x=25/5
  • x=5

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