Answer: Geometric
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Explanation:
The sequence 2,8,32,128,... is geometric
To get a new term, we multiply by the common ratio 4.
2*4 = 8
8*4 = 32
32*4 = 128
To find the common ratio, you pick any term you want, and divide by its previous term
r = (term2)/(term1) = 8/2 = 4
r = (term3)/(term2) = 32/8 = 4
r = (term4)/(term3) = 128/32 = 4
The starting term is a = 2, so the nth term is
a(n) = a*(r)^(n-1)
a(n) = 2*(4)^(n-1)
