Determine whether the sequence below is arithmetic or geometric, and find the function that will produce any given term in the sequence: 16, 24, 36, 54, 81,

Is this sequence arithmetic?

Is this sequence Geometric?

What is the analytical representation of the sequence?

Geometric Sequence.

nth term = an = 16 (1.5^ (n-1).

Step-by-step explanation:

24/16 = 1.5

36/24 = 1.5

54/36 = 1.5

81/54 = 1.5

There is a common ratio between the terms so it is Geometric.

The nth term an = a1r^ (n-1) where a1 = first term, r = common ratio.

So here we have an = 16 (1.5) ^ (n-1).