Answer:
Step-by-step explanation:
Add the amounts together:
Convert the whole number 1 into a fraction with denominator 4:
As all the denominators are the same, we can simply add the numerators:
Finally, convert the improper fraction into a mixed number:
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