Answer:
Explicit:
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
Step-by-step explanation:
1, 5, 25, 125...
1, 1×5 = 5, 5×5 = 25, 25×5 = 125..
It is a Geometric sequence with:
First term: 1
Common ratio: 5
Nth term of a Geometric sequence is:
a(n) = a(1) × r^(n-1),
Where a(1) is the first term and r is the common ratio.
Therefore,
a(n) = 1 × 5^(n-1)
a(n) = 5^n × 5^-1
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
