Answer:

Step-by-step explanation:


Compute general progression:




nth term is computed by:

plug in the values
:


The theoretical answer for the following question provided above would be found if you study
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)
QUESTION 1
The given expression is

The greatest common factor is
.
We factor to obtain;

QUESTION 2
The given quadratic equation is

We split the middle term to obtain

Factor by grouping;


Use zero product property;


QUESTION 3
The given system of equation is


If we multiply
by 3, we obtain;

If we multiply
by 4 we obtain;

Adding the last two equations will give us;

The y-variable is eliminated.
Answer:Multiply 3x+4y=−8
by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.
Simple...
you have:

and

To solve for....

Multiply to remove the denominator-->>

n=12*3
n=36
Then-->>>

Do the same thing-->>

n=-12*3
n=-36
Thus, your answer.