Question

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

Answer 1

Answer:

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 $T_{n}=a\times 10^{n-1}$

Where a = first term = 0.006

r = common ratio = $\frac{0.006\times 10}{0.006}$ = 10

n =  Number of the term

So the explicit formula will be $T_{n}=(0.006)\times 10^{n-1}$

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

$T_{5}=(0.006)\times 10^{5-1}$

              =$0.006\times 10^{(5-1)}$

              =$0.006\times 10^{(4)}$

              = 60

$T_{6}=(0.006)\times 10^{6-1}$

               = $0.006\times 10^{5}$

               = $0.006\times 100000$

               = 600

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

Answer 2

60 and 600 are the next 2 numbers