Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Given:
The recursive formulae are:
(a)
(b)
To find:
The explicit equation.
Solution:
A recursive formula of an arithmetic sequence is
and f(1) is the first term.
Where, d is the common difference.
The explicit formula is
where, a is first term and d is common difference.
(a)
We have,
Here, first term is 8 and common difference is -2. So, the explicit formula is
Therefore, the explicit formula is .
(b)
We have,
Here, first term is 0 and common difference is 5. So, the explicit formula is
Therefore, the explicit formula is .