Answer:
t(n) = 3·5^(n-1)
Explanation:
The recursive formula describes a sequence in which each term is 5 times the one before it. This is a geometric sequence with common ratio 5 and a first term that is said to be 3.
As you know, the generic formula for a geometric sequence is ...
an = a1·r^(n-1)
For a1 = 3, r = 5, and a sequence named "t", this is ...
t(n) = 3·5^(n-1)
