Consider this function in recursive form.

f(1) = -3

f(n) = 3f(n − 1); n 2 2

Select the equivalent explicit function for n 2 1.

f(n) = -3(n)

o f(n) = -3(n - 1)

• f(n) = -3(3)"

o f(n) = -3(3)(n-1)

Step-by-step explanation:

We are given that f(1) = -3. We will calculate the first terms and check for a pattern.

f(2) = 3*f(1) = -3*3 = -9

f(3) = 3*f(2) = -3*3*3 = -27

f(4) = 3*f(3) = -3*3*3*3 = -81

So, in this case, we see that to get the value at n, we must multiply 3 times itself a total of n times and the multiply it by -1. Thus, the explicit formula is

. We can easily check that this function satisfies the values we calculated.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared