How can answer this problem mathematical?

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Are you trying to evaluate this in MATLAB? What code have you written so far? What specifically do you need help with?
i need to solve the steps of this problem with the code mathematically
unfortunately i did not know how to solve it
Work from the inside out. If it helps, just consider the summation part and give n a constant (n=1).
The variable 'i' will range from 1 to 'a' (let's say a=7). For each i, you need to calculate the fraction.
(1-1)/(1+1)
then (2-1)/(2+1)
then (3-1)/(3+1)
until you get to (7-1)/(7+1)
That will leave you with 7 numbers that you have to add.
Now work in the product part.
n = [1 2 3, ..., 20].
You just calculated the summation for n=1 so now you need to do that again for n=2, ..., n=20; That will leave you with 20 numbers that were the result of the summation.
Your final step is to multiply those 20 numbers.
Functions that will help
  • for-loops (2 of them)
  • sum()
  • prod()
Note that there are methods that don't involve for-loops but they are less intuitive for beginners.

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 Accepted Answer

syms a i n nonegative
symprod( symsum( (i-n)/(i+n), i, 1, a), n, 1, 20)
You will get a specific solution in the gamma constant and in the psi function. It probably will not have any intuitive meaning.

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