Answer: Hello mate!
Here we have the sequence: 1, 5, 25, 125,.... etc
the first term is an 1 = 5^0
the second term is 5 = 5^1
the third term is 25 = (5*5) = 5^2
the fourth term is 125 = 5*25 = (5*5*5) = 5^3
then the n-th term is five to the power of (n - 1)
The n-th term of the sequence is:
p(n) = 5^(n-1)
and the recursive relation is:
p(n) = 5p(n-1)
where p(1) = 1
where n ≥ 1
