Consider the following geometric sequence. 2,6,18, 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

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)
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⁾

A