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)

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step-by-step explanation:

5+2x=a

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