What is the explicit formula that represents the following sequence? {1,-6,36,-216...} A5
2 answers:
N=#
-6(n)
I think this is the answer
We see this a geometric sequcne because each term is -6 times of the previous term
an=a1(r)^(n-1)
an=nth term
a1=first term
r=common ratio
n=which term
we see that it multiplies by -6 each time
and the first term is 1
so r=-6
a1=1
an=1(-6)^(n-1)
the explicit formula is
and a5=1(-6)^(5-1)=1(-6)^4=1296
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