Python

1) Assume there is a variable , h already associated with a positive integer value. Write the code necessary to count the number of perfect squares whose value is less than h , starting with 1 . (A perfect square is an integer like 9 , 16 , 25 , 36 that is equal to the square of another integer (in this case 3*3 , 4*4 , 5*5 , 6*6 respectively).) Assign the sum you compute to a variable q For example, if h is 19 , you would assign 4 to q because there are perfect squares (starting with 1 ) that are less than h are: 1 , 4 , 9 , 16 .



2) Assume there are two variables , k and m , each already associated with a positive integer value and further assume that k 's value is smaller than m's. Write the code necessary to compute the number of perfect squares between k and m . (A perfect square is an integer like 9 , 16 , 25 , 36 that is equal to the square of another integer (in this case 3*3 , 4*4 , 5*5 , 6*6 respectively).) Associate the number you compute with the variable q . For example, if k and m had the values 10 and 40 respectively, you would assign 3 to q because between 10 and 40 there are these perfect squares: 16 , 25, and 36 ,.



3) In the following sequence, each number (except the first two) is the sum of the previous two numbers: 0, 1, 1, 2, 3, 5, 8, 13, ... . This sequence is known as the Fibonacci sequence.

We speak of the i'th element of the sequence (starting at 0)-- thus the 0th element is 0, the 1st element is 1, the 2nd element is 1, the 3rd element is 2 and so on. Given the positive integer n , associate the nth value of the fibonacci sequence with the variable result . For example, if n is associated with the value 8 then result would be associated with 21.

h = 19  # h is already assigned a positive integer value 19

i = 1  # used to calculate perfect square

q = 0   # stores the sum of the perfect squares

while q < h:  

# this loop executes until value of number of perfect squares is less than h

   q = q + (i*i)  # to calculate the sum of perfect squares

   i = i + 1  # increments i by 1 at every iteration

print(q) # displays the sum of perfect squares

Output:

30

Explanation:

Here we see that the sum of the perfect square is printed in the output i.e. 30. If we want to assign value 4 to q then we should alter the code as  following:  

h = 19

i = 1

sum_of_ps = 0

q=0

while sum_of_ps < h:

   sum_of_ps = sum_of_ps + (i*i)

   q = q + 1

   i = i + 1  

print(q)  

If you want to take input from the user and also display the perfect squares in output you can use the following code:

h = int(input('Enter the value of h: ')) #takes value of h from user

i = 1

sum_of_ps = 0

q=0

while sum_of_ps < h:

   sum_of_ps = sum_of_ps + (i*i)

   print(i*i) #displays the perfect squares of h

   q = q + 1

   i = i + 1    

print(sum_of_ps)   #displays sum of perfect squares

print(q) #displays number of perfect squares whose value is less than h

Output:

1

4

9

16

30

4

# k and m are already assigned positive integers 10 and 40

k = 10  

m = 40  

i = 1  # i is initialized to 1

q = 0  # q stores the number of perfect squares between k and m

while i*i < m:  # loop computes perfect square of numbers between k and m

   if i*i > k:          

       q = q + 1  # counts the number of perfect squares

   i = i + 1  #increments the value of i at each iteration

print (q) # prints the no of perfect squares between k and m

If you want to display the perfect squares too use , add print(i*i) statement after if statement  if i*i > k:        

Output:

3

def Fibonacci(n):  # method Fibonacci which has an integer parameter n

   if n <= 1:  # if the value of n is less than or equals to 1

       result = n  # stores the value of n into result

   elif n > 1:  # else if the value of n is greater than 1

       result = Fibonacci(n-1) + Fibonacci(n-2)  

# calls Fibonacci method recursively to associate nth value of Fibonacci #sequence with variable result

   return result     #returns the final value stored in result variable

print(Fibonacci(8))

#calls Fibonacci function and passes value 8 to it

Output:

21

you already know many words that you use every day as part of your writing and you probably also know that certain words fit better in certain situations. tonight she will , sit) down and , write) a cover letter to when writing, you need to choose the correct word according to its spelling and