How do you find the nth term of a quadratic sequence

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Step 2: If you divide the second difference by 2, you will get the value of a.

1

²

Step 3: Next, substitute the number 

Step 4: Now, take these values  from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

Step 5: Write down your final answer in the form an² + bn + c.

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: