Cody

# Problem 2024. Triangle sequence

Solution 1832047

Submitted on 31 May 2019 by William Forsberg
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)

a = 3 4 5 a = 3.0000 4.0000 5.0000 6.4031 area = 25

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

a = 3 4 5 a = 3.0000 4.0000 5.0000 6.4031 a = 3.0000 4.0000 5.0000 6.4031 8.1240 area = 41

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

a = 3 4 5 a = 3.0000 4.0000 5.0000 6.4031 a = 3.0000 4.0000 5.0000 6.4031 8.1240 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 area = 66.0000

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

a = 3 4 5 a = 3.0000 4.0000 5.0000 6.4031 a = 3.0000 4.0000 5.0000 6.4031 8.1240 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 a = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 a = 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 a = 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 a = 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 a = 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 a = 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 a = 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 185.5667 a = Columns 1 through 18 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 185.5667 Column 19 236.0445 a = Columns 1 through 18 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 185.5667 Columns 19 through 20 236.0445 300.2532 a = Columns 1 through 18 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 185.5667 Columns 19 through 21 236.0445 300.2532 381.9280 a = Columns 1 through 18 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 185.5667 Columns 19 through 22 236.0445 300.2532 381.9280 485.8199 a = Columns 1 through 18 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 185.5667 Columns 19 through 23 236.0445 300.2532 381.9280 485.8199 617.9725 a = Columns 1 through 18 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 185.5667 Columns 19 through 24 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 a = Columns 1 through 18 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 185.5667 Columns 19 through 25 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 999.9005 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 26 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 27 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 28 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 29 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 30 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 31 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 32 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 5.3878 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 33 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 5.3878 6.8534 a = 1.0e+03 * Columns 1 through 18 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 0.1856 Columns 19 through 34 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 5.3878 6.8534 8.7177 a = 1.0e+04 * Columns 1 through 18 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 0.0186 Columns 19 through 35 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 1.1089 a = 1.0e+04 * Columns 1 through 18 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 0.0186 Columns 19 through 36 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 1.1089 1.4106 a = 1.0e+04 * Columns 1 through 18 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 0.0186 Columns 19 through 36 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 1.1089 1.4106 Column 37 1.7942 a = 1.0e+04 * Columns 1 through 18 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 0.0186 Columns 19 through 36 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 1.1089 1.4106 Columns 37 through 38 1.7942 2.2823 a = 1.0e+04 * Columns 1 through 18 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 0.0186 Columns 19 through 36 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 1.1089 1.4106 Columns 37 through 39 1.7942 2.2823 2.9032 a = 1.0e+04 * Columns 1 through 18 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 0.0186 Columns 19 through 36 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 1.1089 1.4106 Columns 37 through 40 1.7942 2.2823 2.9032 3.6929 a = 1.0e+04 * Columns 1 through 18 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.001...