Question

write a function that returns the value of the binomial expansion for a positive (or zero)...

write a function that returns the value of the binomial expansion for a positive (or zero) integer power n and any valid value of x. first write a function that calculates the value of the rth term. This all has to be done without importing any packages in python. Current code,

def binomial_term_L1(x,n):
return (1+x)**n

but having trouble getting the code for the rth term to work.

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Homework Answers

Answer #1 
def factorial(n): 
  #function t0 calculate the factorial 
  #of any value n;
    f = 1
    for i in range(2, n+1): # loop to calculate the factorial
        f *= i  
          
    return f 
  
# Function to calculate the rth term of series 
def rthterm(X, r , n): 
      
    # calculating the value of n! 
    nFact = factorial(n) 
  
    # For calculating the value of nCr 
    #1.clculating the value of (!r-1)
    rFact = factorial(r-1) 
    #2.calculating the value of (!n-r+1)
    nrFact = factorial(n-r+1) 
  
    # calculating the value of  
    # X to the power r-1 
    xPow = pow(X, r-1) 
  
    # return  the nCr value
    return(int((nFact * xPow)/(nrFact * rFact)))

X = int(input(" enter the  value of X :  "))
r = int(input(" enter the  value of r :  "))
n = int(input(" enter the  value of n :  "))

#calling the function "rthterm" to calculate nCr
k = (rthterm(X,r,n))
#printing the value of nCr
print("The  Rth term is : " , k)

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