Consider the following geometric sequence.

2,6,18,54...

The recursive formula for the sequence is?
A: an=3*an-1
B: an=2*3^n-1

The explicit formula for the sequence is?
A: an=2*3^n-1
B: an=3*an-1

Respuesta :

2,6,18,54...
the sequence above has a common ratio of:
6/2=3
hence it is a geometric sequence.

a] The recursive formula of the sequence will be:
common ratio=3
first term a1=2
an=3a_(n-1)
Answer: A

b] The explicit formula is given by:
an=ar^(n-1)
where
a=first term
r=common ratio
thus the formula will be:
an=2*3
⁽ⁿ⁻¹⁾

Answer: A