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
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.