in geometric progression 18, -12, 8, ... , which term is 512/729 ?

Question

geometric progression

Answer 1

raesheeo=-2/3

tu get tu 512/729

512=2^9

729=3^6

start=18...term 1

term 9=512/729

Answer 2

common ratio: -2/3 but since the nth term is positive i.e (512/729), this means that the power of the ratio will be an even number… .therefore.. we have to assume the -ve sign at this point since it will have no effect. hence the solution is; 512/729=18(2/3)^n-1 divide by 18 on both sides ; 256/6561=(2/3)^n-1 ; log 0.03902=(n-1) log 0.6667; log 0.03902/ log 0.6667=n-1; n-1=8; n=9;

Answer 3

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?>