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

c

Explanation:

Answer 2

The general formula that represents the given sequence is:

`f(x)=-(2)/(3)* 6^x`

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)=-(2)/(3)* 6^x`

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

`f(1)=-(2)/(3)* 6\\\\f(1)=-2* 2\\\\f(1)=-4`

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

`f(2)=-(2)/(3)* 6^2\\\\f(2)=-24`

and so on.

Hence, the general formula is:

`f(x)=-(2)/(3)* 6^x`