Which formula can be used to describe the sequence?

, −4, −24, −

f(x) = 6
f(x) = −6
f(x) = (6)x − 1
f(x) = (−6)x − 1

Step-by-step explanation:

Given sequence,

-4, -24, -144, .....

Since,

Thus, the given sequence is the Geometric sequence having common ratio 6,

Since, the formula of nth term of a GP is,

Here, a = -4 ( first term ) and r = 6 ( common difference,

Let x represents the total number of terms,

And, f(x) represents the xth term,

Then the required formula would be,