Find the 91st term of the arithmetic sequence 28, 8, -12, ...

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the common difference between the numbers.  

If we are looking for the 91st term, our n = 91;

our a1 is 28, and

the common difference is -20.  Putting all that together gives us the explicit formula for this sequence:

and

and

so

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: