The puipose of the problem is to verify the binomial expansion given by Write a
ID: 3559998 • Letter: T
Question
The puipose of the problem is to verify the binomial expansion given by Write a Matlab program that asks the user to enter two real numbers A and B and an integer N from the keyboard. Compute the quantity S1 = {A + B)N and store it in the variable SI. Then compute the binomial sum S2 and store it in the variable S2. Your program should display the values of A. B. N. SI and S2. Now compare SI and S2, if their difference is less than 0.001. print "they are very close"; otherwise, print "they are too far apart". To check your program, note that if A = B = I. then = {A + B)N = 2N.Explanation / Answer
The general steps to find such a summation are:
- Start a loop over r,
- Calculate each term as a function of (r),
- In the loop, add the terms one by one to a unique matrix,
- After the loop is finished, sum over the added terms.
The code should be something as :
The output is in (SumOfTerms), which should be a single value.
I assumed that (nCr) is not a constant, as I expect, it must be a function of (n and r). If it was a constant of (n and r), then define it outside the loop.
I also didn't understand the meaning of ( *| ) at the beginning and end of the formula in your question. If they mean some operation s ( complex conjugate or absolute) then add any of the commands at the very end of the code:
or
and in this case the output will be in (finalSum).
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