Cody

# Problem 2024. Triangle sequence

Solution 1538854

Submitted on 24 May 2018 by Nicholas Radziul
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Pass
n = 1; area_correct = 25; tolerance = 1e-12; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

h = 4 s = 3 h = 4 5 s = 3 4 area = 25

2   Pass
n = 2; area_correct = 41; tolerance = 1e-12; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

h = 4 s = 3 h = 4 5 s = 3 4 h = 4.0000 5.0000 6.4031 s = 3 4 5 area = 41

3   Pass
n = 3; area_correct = 66; tolerance = 1e-12; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

h = 4 s = 3 h = 4 5 s = 3 4 h = 4.0000 5.0000 6.4031 s = 3 4 5 h = 4.0000 5.0000 6.4031 8.1240 s = 3.0000 4.0000 5.0000 6.4031 area = 66.0000

4   Pass
n = 50; area_correct = 439116598409; tolerance = 1e-3; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

h = 4 s = 3 h = 4 5 s = 3 4 h = 4.0000 5.0000 6.4031 s = 3 4 5 h = 4.0000 5.0000 6.4031 8.1240 s = 3.0000 4.0000 5.0000 6.4031 h = 4.0000 5.0000 6.4031 8.1240 10.3441 s = 3.0000 4.0000 5.0000 6.4031 8.1240 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 h = 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 h = Columns 1 through 17 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 Column 18 236.0445 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Column 18 185.5667 h = Columns 1 through 17 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 Columns 18 through 19 236.0445 300.2532 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 19 185.5667 236.0445 h = Columns 1 through 17 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 Columns 18 through 20 236.0445 300.2532 381.9280 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 20 185.5667 236.0445 300.2532 h = Columns 1 through 17 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 Columns 18 through 21 236.0445 300.2532 381.9280 485.8199 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 21 185.5667 236.0445 300.2532 381.9280 h = Columns 1 through 17 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 Columns 18 through 22 236.0445 300.2532 381.9280 485.8199 617.9725 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 22 185.5667 236.0445 300.2532 381.9280 485.8199 h = Columns 1 through 17 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 Columns 18 through 23 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 23 185.5667 236.0445 300.2532 381.9280 485.8199 617.9725 h = Columns 1 through 17 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 185.5667 Columns 18 through 24 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 999.9005 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 24 185.5667 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 h = 1.0e+03 * Columns 1 through 17 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 0.1856 Columns 18 through 25 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 s = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 25 185.5667 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 999.9005 h = 1.0e+03 * Columns 1 through 17 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 0.1856 Columns 18 through 26 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 s = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 26 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 h = 1.0e+03 * Columns 1 through 17 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 0.1856 Columns 18 through 27 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 s = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 27 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 h = 1.0e+03 * Columns 1 through 17 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 0.1856 Columns 18 through 28 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 s = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 28 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 h = 1.0e+03 * Columns 1 through 17 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 0.1856 Columns 18 through 29 0.2360 0.3003 0.3819 ...

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!