Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times
, which means 
- in turn,
is 5 times
, so we have
. This means that 
- Finally,
So, substituting this back gives

In general, since you have
, each time you compute a new term you multiply by a factor of 5, so if
, you have

Answer:
Yes
Step-by-step explanation:
The order of the factors does not alter the product
Answer:
The value of x is 8 gallon.
Step-by-step explanation:
Given a table showing approximate conversion from gallons to liters.
Number of Gallons 2 4 x
Number of Liters 7.6 15.2 30.4
We are required to find value of x,
Given : 2 gallon is equal to 7.6 liters.
⇒ 1 liter is equal to
liters. ........(1)
given, x gallon equal to 30.4 liters.
⇒ 1 liter is equal to
liters. .........(2)
from (1) and (2),
⇒ 
Solving for x, we get,
⇒ 
⇒ 
Approximately x = 8
Thus, the value of x is 8 gallon.