Question

9. Find the value of xyz if 1,x,y,z, 16 are in G.P​

Answer 1

Answer:

         64

Step-by-step explanation:

As the first two terms are 1, x, the common ratio is x/1 = x.

The sequence is then:  1, x, x², x³, x⁴,...

So y=x², z=x³ and 16=x⁴.

The last of these gives

   x⁴ = 16  ⇒  x² = 4    (since x² must be positive, we rule out x² = -4).

Therefore:

  xyz = x x² x³ = x⁴ x² = 16 × 4 = 64