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