Problem 5. Each of the following sequences converges to π: an = 6 √3 n k=0 n bn = (-1)k 3k (2k + 1)' (-1)k 1652k+1 (2k+1) k=0 n - 4 Σ k=0 (−1)k 2392k+1 (2k+1) (a) Write a MATLAB script that computes ao, ..., ana, where na is the smallest integer such that ana T| < 10-6. Use fprintf to display your results in three columns, where the first column is the values of n, the second column the value of an, and the third column - the value of ana — π|. (b) Repeat part (a) for bo,.. ... , bn, where nɩ is the smallest integer such that |b - π| < 10−6.

Problem 5. Each of the following sequences converges to π: an = 6 √3 n k=0 n bn = (-1)k 3k (2k + 1)' (-1)k 1652k+1 (2k+1) k=0 n - 4 Σ k=0 (−1)k 2392k+1 (2k+1) (a) Write a MATLAB script that computes ao, ..., ana, where na is the smallest integer such that ana T| < 10-6. Use fprintf to display your results in three columns, where the first column is the values of n, the second column the value of an, and the third column - the value of ana — π|. (b) Repeat part (a) for bo,.. ... , bn, where nɩ is the smallest integer such that |b - π| < 10−6.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 46RE: Find the fourth term of (3a22b)11 without fully expanding the binomial.

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