Question

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

Answer 1

$a_{n} = a_{1} r^{n-1}$  ; 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

$a_{n} = 0.08 (5)^{n-1}$

$a_{6} = 0.08 (5)^{6-1}$

       $= 0.08 (5)^{5}$

          = 0.08(3125)

          = 250

Answer: B