Answer :
Among the options given, f(n) = 4 × (-8)^n is the function that represents a geometric sequence. This function follows the multiplication rule of a geometric sequence. Option 3.
In the given options, a geometric sequence can be represented by the geometric function f(n) = 4 × (-8)^n.
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the ratio.
In this function, the base of the exponent is -8 which is the fixed ratio.
The other given options are not forms of geometric sequences because they do not entail this multiplicative rule of a geometric series.
Hence, the right answer is option 3.
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