PEMDAS
12-14=-2
-2-5=-7
-7-9=-16
-16-4=-20
-20 is the answer
Answer:
1/3
Step-by-step explanation:
when you change the mixed numbers to improper fractions, you get 4/5 * 10/9 ÷ 8/3. you can flip the 8/3 to 3/8 and change the division sign to multiplication, because dividing by a fraction is the same as multiplying by its reciprocal. you can cancel some things and ultimately you get 1/3
Since we know the sequence is quadratic, we expect the
-th term to have the general form

Plug in the first 3 known values of the sequence to form a system of equations.



Eliminating
gives


Eliminating
gives

Solving for
, we get


So, the
-th term of the sequence is
