Question

In: Computer Science

PYTHON The nth term of the sequence is given by: Xn = (2 ∗ Xn-3) +Xn-2+/...

PYTHON

The nth term of the sequence is given by: X_n = (2 ∗ X_n-3) +X_n-2+/ + (4 ∗ X_n-1)

For example, if the first three values in the sequence were 1, 2 and 3. The fourth value would be: (2 * 1) + 2 + (4 * 3) = 16 Replacing the previous three Integers (2, 3 and 16) in the formula would determine the fifth value in the sequence. The nth term can be calculated by repeating this process. Write a program that includes two functions main() and calculate()which are used to determine the nth term in the sequence.

The main() function: • Displays a description of the program’s function • Prompts the user for the number of values in the sequence (n) • Prompts the user for the first three values in the sequence • Using a loop, calls the calculate() function repeatedly until the nth value is determined • Displays the nth value of the sequence

The calculate() function: • Accepts three values as arguments • Calculates the next value in the sequence • Returns the calculated value

Expert Solution

Pseudo code

1) Take the input for the value of n

2) Take first 3 input values

3) iterate in loop from 0 to n-3

4) call the calculate function and append the returned value to the list

5) print the result

// Code

def calculate(a,b,c):
return 2*a+b+4*c # calculation

# Main Driver Code

print("Enter Number of vlaues in the sequence:")
n=int(input()) #it takes the input for the value of n
print("Enter first 3 values:")
li=list(map(int,input().split())) # it takes first three values

for i in range(0,n-3): # loop to calculate values
li.append(calculate(li[i],li[i+1],li[i+2])) # function call
print(str(n)+"th value of the series is "+str(li[-1]))

// OUTPUT

Enter Number of vlaues in the sequence:

4

Enter first 3 values:

1 2 3

4th value of the series is 16

...Program finished with exit code 0

Press ENTER to exit console.

// Code Images

//OUTPUT IMAGE

venereology answered 8 months ago

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