Think back to the magical candy machine at your neighborhood grocery store. Suppose that the first time a quarter is put into the machine 1 Skittle comes out. The second time, 4 Skittles, the third time 16 Skittles, the fourth time 64 Skittles, etc. a) Find both a recursive and closed formula for how many Skittles the nth customer gets. b) Check your solution for the closed formula by solving the recurrence relation using the Characteristic Root technique.

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Q: 3. Is the sequence defined by a = 2(-4)" + 3 a n solution of the recurrence relation a = -3 a +4a n…

A: Given Data:  To check the sequence 2-4n+3 is a solution of recurrence relation an=-3an-1+4an-2.

Q: recurrence relation and initial term.

A:

Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

A:

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A: We need to solve given recurrence relation by the characteristics method.

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Q: Find the characteristic equation and solve this recurrence. Check your work with b2. bk = 16bk-1…

A:

Q: True or False? The sequence a, = 5 - 3" is a solution of the recurrence relation a, = 3 · an-1. %3!…

A: Given: Sequence an = 5·3n and recurrence relation an=3·an-1.