3. Scientific problems using Conditionals and Iterative loops. (Number series, Number Patterns, pyramid pattern)

 

3. Scientific problems using Conditionals and Iterative loops. (Number series, Number Patterns, pyramid pattern)

NUMBER SERIES

n=int(input("Enter a number: "))

a=[]

for i in range(1,n+1):

    print(i,sep=" ",end=" ")

    if(i<n):

        print("+",sep=" ",end=" ")

    a.append(i)

print("=",sum(a))

print()

# Program to display the Fibonacci sequence up to n-th term

 

nterms = int(input("How many terms? "))

 

# first two terms

n1, n2 = 0, 1

count = 0

 

# check if the number of terms is valid

if nterms <= 0:

   print("Please enter a positive integer")

# if there is only one term, return n1

elif nterms == 1:

   print("Fibonacci sequence upto",nterms,":")

   print(n1)

# generate fibonacci sequence

else:

 

   print("Fibonacci sequence:")

   while count < nterms:

       print(n1)

       nth = n1 + n2

       # update values

       n1 = n2

       n2 = nth

       count += 1

Output

How many terms? 7

Fibonacci sequence:

0

1

1

2

3

5

8

 

Python Program to compute sum of following series: 12+22+32.....102

sum=0

for i in range(12, 103, 10) :

               print(i,end="")

               if(i<102) :

                               print("+",end="")

                               sum = sum + i

print("\nSum is : ",sum)

Output : 

12+22+32+42+52+62+72+82+92+102

Sum is : 570

PYRAMID PATTERN 

# Example of print simple pyramid pattern  

n = int(input("Enter the number of rows"))  

# outer loop to handle number of rows  

for i in range(0, n):  

    # inner loop to handle number of columns  

    # values is changing according to outer loop  

        for j in range(0, i + 1):  

            # printing stars  

            print("* ", end="")       

  

        # ending line after each row  

        print()  

 

Output:

*

* *

* * *

* * * *

* * * * *

 

# Printing Triangle Pyramid

Code -

n = int(input("Enter the number of rows: "))  

m = (2 * n) - 2  

for i in range(0, n):  

    for j in range(0, m):  

        print(end=" ")  

    m = m - 1  # decrementing m after each loop  

    for j in range(0, i + 1):  

        # printing full Triangle pyramid using stars  

        print("* ", end=' ')  

    print(" ")  

 

 

Output:

Enter the number of rows: 10

                  *   

                 *  *   

                *  *  *   

               *  *  *  *   

              *  *  *  *  *   

             *  *  *  *  *  *   

            *  *  *  *  *  *  *   

           *  *  *  *  *  *  *  *   

          *  *  *  *  *  *  *  *  *   

         *  *  *  *  *  *  *  *  *  *   

Pattern - 1: Number Pattern

Code -

rows = int(input("Enter the number of rows: "))  

# Outer loop will print number of rows  

for i in range(rows+1):  

    # Inner loop will print the value of i after each iteration  

    for j in range(i):  

        print(i, end=" ")  # print number  

    # line after each row to display pattern correctly  

    print(" ")  

Output:

Enter the number of rows: 5 

1   

2 2   

3 3 3  

4 4 4 4   

5 5 5 5 5  

 

NUMBER PATTERN 2 : Multiplication Number in Column

rows = int(input("Enter the number of rows: "))  

for i in range(1, rows):  

    for j in range(1, i + 1):  

        # It prints multiplication or row and column  

        print(i * j, end='  ')  

    print()  

Output:

Enter the number of rows: 8

1  

2  4  

3  6  9  

4  8  12  16  

5  10  15  20  25  

6  12  18  24  30  36  

7  14  21  28  35  42  49