Answer:
Recursive equation [tex]T_{1} = 20[/tex] and [tex]T_{n + 1} = T_{n} \times (0.75) = 0.75T_{n}[/tex] where, n = 1, 2, 3, 4, ........ .
Explicit equation [tex]T_{n} = 20(0.75)^{n - 1}[/tex].
Step-by-step explanation:
The given series is an G.P. series and the common ratio is 0.75.
Now, the terms are 20, 15, 11.25, .......
Therefore, the explicit equation of the series will be [tex]T_{n} = 20(0.75)^{n - 1}[/tex]
Again, the recursive equation of the given G.P. series will be
[tex]T_{1} = 20[/tex] and [tex]T_{n + 1} = T_{n} \times (0.75) = 0.75T_{n}[/tex] where, n = 1, 2, 3, 4, ........
