Answer:
See proof below
Step-by-step explanation:
We have to verify that if we substitute
in the equation
the equality is true.
Let's substitute first in the right hand side:

Now we use the distributive laws. Also, note that
(this also works when the power is n-2).



then the sequence solves the recurrence relation.
Exact Form: 1991/2
Decimal Form: 995.5
Mixed Number Form: 995 1/2
Answer:
B
Step-by-step explanation:
The pattern is square numbers so
1, 4, 9, 16, 25
Answer:

Step-by-step explanation:
Since we're dividing the polynomial by
, we'll be using -1 to start the division.
Before setting the division up, let's list the coefficients of
from descending powers and the constant.
The coefficient of
is 3
Since we don't see an
, the coefficient will be 0.
The coefficient of
is 5.
Lastly, the constant, which is the term without the
is -1.
Refer to the attached picture before continuing.
After referring to the picture, we now have the coefficients for the quotient.
The coefficient of
is 3.
The coefficient of
is -3.
The constant is 8.
Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.
The remainder is actually
.
Now putting all the pieces together, we get:

Answer:
a=3
Step-by-step explanation: