Question

x,y,z are in G.P then 1/logx,1/logy,1/logz are in which progression

Answer 1

Answer:

In harmonic progression.

Step-by-step explanation:

PROOF BY ILLUSTRATION:-

since,

x,y,z in GP=> let x= 10 and if common ratio be 10

=> y= 100 and z= 1000

therefore

1/ logx= 1/log10= 1/1

1/logy= 1/log100= 1/2

1/logz= 1/ log1000= 1/3

thus series=> 1/1, 1/2, 1/3

this type of series is called harmonic progression.

if we write reciprocals of terms we will find an arithmetic progression.