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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, 5 Skittles, the third time 25 Skittles, the fourth time, 125 Skittles, etc. a. Find both a recursive and closed formula for how many Skittles the nth customer gets. Recursive formula: an = Closed formula: An b. Check your solution for the closed formula by solving the recurrence relation using the Characteristic Root technique.

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, 5 Skittles, the third time 25 Skittles, the fourth time, 125 Skittles, etc. a. Find both a recursive and closed formula for how many Skittles the nth customer gets. Recursive formula: an = Closed formula: An b. Check your solution for the closed formula by solving the recurrence relation using the Characteristic Root technique.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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, 5 Skittles, the third time 25 Skittles, the fourth time, 125 Skittles, etc. a. Find both a recursive and closed formula for how many Skittles the nth customer gets. Recursive formula: an = Closed formula: An b. Check your solution for the closed formula by solving the recurrence relation using the Characteristic Root technique.
Transcribed Image Text: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, 5 Skittles, the third time 25 Skittles, the fourth time, 125 Skittles, etc. a. Find both a recursive and closed formula for how many Skittles the nth customer gets. Recursive formula: an = Closed formula: An b. Check your solution for the closed formula by solving the recurrence relation using the Characteristic Root technique.
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