Formulate the recursive formula for the following geometric sequence. {-16, 4, -1, }

.

Step-by-step explanation:

We are given a geometric sequence { -16, 4, -1, .... }

i.e. , , , ...

We will first find the common ratio 'r'.

Now,

i.e.

i.e.

i.e.

Similarly, i.e.

i.e.

So, we get that the common ratio is .

Now, the recursive formula for the geometric sequence is given by,

i.e.

i.e. .

Hence, the recursive formula for this sequence is .

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )