One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous...
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One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher). To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together. (Here I have highlighted that 1+3 = 4) C:\Lecturing\Disted\CCP404\CCP484_Aug2020 Exampython questions.py Enter the number of rows required in Pascal's triangle: 7 Terms in row 1 1 1 Terms in row 2 1+1 2 Terms in row 3 1+2+1 4 Terms in row 4 1+3+3+1 8 Terms in row 5 1+4+6+4+1 16 Terms in row 6 1+5+10+10+5+1 Terms in row 7 1 2 32 1 Using the proper python data structures, you are required to write a program to generate the number pattern to form Pascal's triangle. A possible sample output of the program to do this is as shown below. The user of your program needs to specify the number of rows required for the pattern. Once this is provided, your program should then perform the necessary manipulations to generate the required pattern and generate it as shown below. The sum of all terms in each row of the triangle should also be calculated, as shown in the screen below. For example, in row 3, the sum is 1+2+1 = 4. 3 3 1 The number pattern should also be stored in a tuple and once the calculation is complete, the contents of the tuple should be generated at the end of the program. 1 4 6 4 1 1+6+15+20+15+6+1 64 Data stored in tuple: ('1', '1+1', '1+2+1', '1+3+3+1', '1+4+6+4+1°, *1+5+10+10+5+1", "1+6+15+20+15+6+1") One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher). To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together. (Here I have highlighted that 1+3 = 4) C:\Lecturing\Disted\CCP404\CCP484_Aug2020 Exampython questions.py Enter the number of rows required in Pascal's triangle: 7 Terms in row 1 1 1 Terms in row 2 1+1 2 Terms in row 3 1+2+1 4 Terms in row 4 1+3+3+1 8 Terms in row 5 1+4+6+4+1 16 Terms in row 6 1+5+10+10+5+1 Terms in row 7 1 2 32 1 Using the proper python data structures, you are required to write a program to generate the number pattern to form Pascal's triangle. A possible sample output of the program to do this is as shown below. The user of your program needs to specify the number of rows required for the pattern. Once this is provided, your program should then perform the necessary manipulations to generate the required pattern and generate it as shown below. The sum of all terms in each row of the triangle should also be calculated, as shown in the screen below. For example, in row 3, the sum is 1+2+1 = 4. 3 3 1 The number pattern should also be stored in a tuple and once the calculation is complete, the contents of the tuple should be generated at the end of the program. 1 4 6 4 1 1+6+15+20+15+6+1 64 Data stored in tuple: ('1', '1+1', '1+2+1', '1+3+3+1', '1+4+6+4+1°, *1+5+10+10+5+1", "1+6+15+20+15+6+1")
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Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
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