Answer:
The simplified expression for the given expression will be:
c. 
Step-by-step explanation:
Given expression:

To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒ 
Combining like terms
⇒ 
<em>The like terms can be evaluated as</em>


Thus, the simplified expression will be:
⇒ 
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She made the mistake in step 4
She should have divided by -2 not just 2 alone
Given:
The given sequence is:

To find:
The recursive formula for
, the nth term of the sequence.
Solution:
We have,

Here, the first term is 5.



The common difference is -7.
The recursive formula for the nth term of the sequence is

Where,
is the common difference.
Putting
in the above formula, we get


Therefore, the recursive formula for the nth term of the sequence is
.