Question

Which formula can be used to describe the sequence? , −4, −24, −144,... f(x) = 6 f(x) = −6 f(x) = (6)x − 1 f(x) = (−6)x − 1

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

The general formula that represents the given sequence is:

$f(x)=-\dfrac{2}{3}\times 6^x$

Step-by-step explanation:

We are given a sequence as:

−4, −24, −144,...

The first term is:

-4.

second term is:

-24 and so on.

So, looking at the sequence the general formula that can be formed is:

$f(x)=-\dfrac{2}{3}\times 6^x$

Hence, the first term i..e when x=1 we have:

$f(1)=-\dfrac{2}{3}\times 6\\\\f(1)=-2\times 2\\\\f(1)=-4$

Similarly the second term i.e. when x=2 we have:

$f(2)=-\dfrac{2}{3}\times 6^2\\\\f(2)=-24$

and so on.

Hence, the general formula is:

$f(x)=-\dfrac{2}{3}\times 6^x$