This is important because if you were to answer in complex fractions instead of its simplest form, you would have a tough time multiplying complex fractions together. You would get a HUGE denominator or numerator, which makes things difficult. It is important to write a fraction in its simplest form because of exactly that; making things simple. Would you rather multiply 64/132*64/132 or 1/2*1/2?
In order to have a linear equation, you have to write an equation like
The sequence has to start with 3, so we must choose , because this guarantees that when we have
Now, must be even. In fact, if is even, will always be even for every possible , and will be odd.
So, for example, you might choose
Which will produce the following sequence:
and so on
Since
Is a perfect square, we can think of the "-6" at the end as a "+4-10" and we have
Which is the required form
Sorry I just need points…$2000