Enter a recursive rule for the geometric sequence.
6, −18, 54, −162, ...
a1=___ ; an= ___
The common ratio is -18 / 6 = -3
a1 = 6
an = 6(-3)n-1 = explicit rule
The recursive rule is
an = an-1 (-3)
Im a little confused.. so how would i fill in this blank then: a1=__?__ ; an= __?__
a1 = the first term = 6
an = the nth term = a1 (-3)n - 1
For example.....the second term is
a2 = 6 (-3)2-1 = 6(-3)1 = 6 * -3 = - 18