The first four numbers of the pattern are shown below, what would be the 6th number in the pattern.

0.08,0.4,2,10
A.450
B.250
C.5
D.50

Respuesta :

[tex]a_{n} = a_{1} r^{n-1}[/tex]  ; where a₁ is the first term, r is the ratio, and n is the term

0.08,  0.4,   2,   10 ,

    x5       x5    x5       do you see the pattern?  a₁ = 0.08 and r = 5

[tex]a_{n} = 0.08 (5)^{n-1}[/tex]

[tex]a_{6} = 0.08 (5)^{6-1}[/tex]

       [tex] = 0.08 (5)^{5}[/tex]

          = 0.08(3125)

          = 250

Answer: B