13. The reciprocal Fibonacci constant y is defined by the infinite sum: Σ. where F, are the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, ... . Each element in this sequence of numbers is the sum of the...

Extracted text: 13. The reciprocal Fibonacci constant y is defined by the infinite sum: Σ. where F, are the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, ... . Each element in this sequence of numbers is the sum of the previous two. Start by setting the first two elements equal to 1, then F, = F-1+ Fn-2. Write a MATLAB pro- gram in a script file that calculates y for a given n. Execute the program for n = 10, 50, and 100. 14. The value of t can be estimated from: (-1)" 32 n=0 (2n+1)* Write a program (using a loop) that determines t for a given n. Run the pro- gram with n = 10, n = 100, and n = format long.) 1,000. Compare the result with pi. (Use