You can notice that each term of the sequence has a denominator with powers of 2. The first term has 2 powered to 0, the second term has a 2 powered to 1 and so on. The numerator is always 3.
Then, for the n-th term, you have:
This is given by the multinomial coefficient:

If you're not familiar with the multinomial coefficient, you may be able to see it more clearly if you count the number of possible combinations taking each distinct letter

times, where

is the number of times it shows up in the original word.
Answers:
- interest = $75
- balance at maturity = $3075
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Explanation:
The simple interest formula is
i = p*r*t
where in this case,
- p = 3000 = principal (amount deposited)
- r = 0.10 = annual interest rate in decimal form
- t = 3/12 = 0.25 = number of years
So,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
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In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
Make them both equal to y
y=-2x+6
2y=x+6 y=1/2x+3
These are perpendicular since ones slope is -2 and the other is the opposite, 1/2.