5. for each sequence, write either an explicit or a recursive formula.
a. 1, −1, 1, −1, 1, −1, …

Explicit form is   f(n) = (-1)ⁿ⁻¹      

Recursive form of sequence is given by f(n) = -f(n-1)

Step-by-step explanation:

We can see that 1, −1, 1, −1, 1, −1, … is a geometric sequence with common ration -1 and first term 1.

Explicit form is given by

             f(n) = arⁿ⁻¹

             f(n) = 1 x (-1)ⁿ⁻¹ = (-1)ⁿ⁻¹      

Explicit form is   f(n) = (-1)ⁿ⁻¹      

The explicit form of sequence is  given as

        f(n) =  (-1)ⁿ⁻¹

So nth term is given by

            f(n) =  (-1)ⁿ⁻¹

(n-1)th term is given by    

            f(n-1) =  (-1)ⁿ⁻²

We have

Recursive form of sequence is given by f(n) = -f(n-1)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

answer: ur v dumb

step-by-step explanation: