Cody

# Problem 2908. Approximation of Pi

Solution 571429

Submitted on 1 Feb 2015 by patrick1704
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### Test Suite

Test Status Code Input and Output
1   Pass
%% n = 1; y_correct = -0.858407346410207; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 y = -0.8584

2   Pass
%% n = 2; y_correct = 0.474925986923126; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 y = 0.4749

3   Pass
%% n = 4; y_correct = 0.246354558351698; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 sum = 0.8667 sum = 0.7238 y = 0.2464

4   Pass
%% n = 7; y_correct = -0.142145830148691; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 sum = 0.8667 sum = 0.7238 sum = 0.8349 sum = 0.7440 sum = 0.8209 y = -0.1421

5   Pass
%% n = 10; y_correct = 0.099753034660390; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 sum = 0.8667 sum = 0.7238 sum = 0.8349 sum = 0.7440 sum = 0.8209 sum = 0.7543 sum = 0.8131 sum = 0.7605 y = 0.0998

6   Pass
%% n = 14; y_correct = 0.071338035810608; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 sum = 0.8667 sum = 0.7238 sum = 0.8349 sum = 0.7440 sum = 0.8209 sum = 0.7543 sum = 0.8131 sum = 0.7605 sum = 0.8081 sum = 0.7646 sum = 0.8046 sum = 0.7676 y = 0.0713

7   Pass
%% n = 17; y_correct = -0.058772861819756; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 sum = 0.8667 sum = 0.7238 sum = 0.8349 sum = 0.7440 sum = 0.8209 sum = 0.7543 sum = 0.8131 sum = 0.7605 sum = 0.8081 sum = 0.7646 sum = 0.8046 sum = 0.7676 sum = 0.8020 sum = 0.7698 sum = 0.8001 y = -0.0588

8   Pass
%% n = 20; y_correct = 0.049968846921953; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 sum = 0.8667 sum = 0.7238 sum = 0.8349 sum = 0.7440 sum = 0.8209 sum = 0.7543 sum = 0.8131 sum = 0.7605 sum = 0.8081 sum = 0.7646 sum = 0.8046 sum = 0.7676 sum = 0.8020 sum = 0.7698 sum = 0.8001 sum = 0.7715 sum = 0.7985 sum = 0.7729 y = 0.0500

9   Pass
%% n = 25; y_correct = -0.039984031845239; assert(abs(pi_approx(n)-y_correct)<(100*eps))

sum = 1 sum = 0.6667 sum = 0.8667 sum = 0.7238 sum = 0.8349 sum = 0.7440 sum = 0.8209 sum = 0.7543 sum = 0.8131 sum = 0.7605 sum = 0.8081 sum = 0.7646 sum = 0.8046 sum = 0.7676 sum = 0.8020 sum = 0.7698 sum = 0.8001 sum = 0.7715 sum = 0.7985 sum = 0.7729 sum = 0.7973 sum = 0.7740 sum = 0.7963 sum = 0.7750 sum = 0.7954 y = -0.0400