Math, asked by venkatpramod856, 8 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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