1.Given the following terms of a
sequence for the N th term of the sequence:3,5,9,15,23,33,45…. 2. Suppose that
today (year0) your car is worth $10,000. Each year, your car loses 10 % of its
value, nut at the end of each year, you add customization to your car that
increase it value by$100. LetC(n) be the value of your car after N years. (so
C(0)=10000)WRITE a recurrence relation for C(n). and how much will your car be
worth after 3years?
3. In a group of 82 students, 59 are
taking an english course, 46 are taking a math course and 12 are taking neither
of these, how many students are taking both english and math?
4. Consider the recurrence relation
defined by An=4An-1-4An-2 for n>=2 with A0=5 and A1=9 WRITE the first six
terms of the sequence defined by this relation and WRITE a solution to the
recurrence relation.
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