The number below follows a pattern. 006 .06 0.6 6 what are the next two numbers in the pattern

5th and 6th terms will be 60 and 600.

Step-by-step explanation:

The given pattern of the numbers is 0.006, 0.06, 0.6, 6......

We can rewrite the pattern as 0.006, (0.006×10), (0.006×10²), (0.006×10³),......

As we can see its a geometric sequence.

So the explicit formula of the pattern will be

Where a = first term = 0.006

r = common ratio = = 10

n =  Number of the term

So the explicit formula will be

Now we have to get 5th and 6th term.

              =

              =

              = 60

               =

               =

               = 600

Therefore, 5th and 6th terms will be 60 and 600.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this