Question

The 4th term of G.P. is 54 and the 6th term is 24. Is 64/9 a term of the G.P.?

Answer 1

Answer:

No

Step-by-step explanation:

$ar^3 = 54$ ;

$ar^5 = 24$ ;

which gives , $r = 1/2, -1/2$ ; a = 432, -432 respectively.

Using the equation of nth term for a GP, we get $ar^n / r = 64/9$

$432*8/8^n = 64/9$

$3^5 = 2^(3n)/2$ ; Not possible