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Need help with two parts of this one question for Discrete Mathematics; here is the problem below: Both programs are correct and produce the same

Need help with two parts of this one question for Discrete Mathematics; here is the problem below:

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Both programs are correct and produce the same output, but not equal with equal computational efficiency. Alex's program finishes practically instantaneously, while Casey's program slows down noticeably when n reaches about 20 to 30 and keeps getting slower with each passing n .

d) Find a closed form representation for an

e) How many arithmetic operations (counting multiplications and additions) must Alex's program perform? Give the exact number and a brief explanation.

Week 5-201 7FalIA-X-M / D MAT 243 Online Week 5 Secure https://myasucourses asu.edu/bbcswebdav/pid 16327146 dt content-rid-1060453051/courses/201 7FallAX-MAT243-78707/Week%205%20Homework%2839629.pdf 3. Two students, Alex and Casey, wrote Python programs to compute and print the terms a2 to a100 of the same recursively defined sequence {an}. Alex's program Casey s program def a (n): n=2 if n= 0: return 0 elif n=-1: return 1 while n

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