Complex number question: express as a+bi

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sw1
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Express in the form a+ib:

(i+1)(i+2)(i+3)..(i+n)


I can handle problems like i^n, but this one has been giving me issues.
 
sw1 said:
Express in the form a+ib:

(i+1)(i+2)(i+3)..(i+n)


I can handle problems like i^n, but this one has been giving me issues.
According to our guidelines you are expected to show what you have attempted, or at least detail your thoughts on the problem.
 
The problem is looking for a general expression for the result as a function of n. Multiply the first two terms and simplify the result. Then multiply that by the next term and simplify. Then multiply in the next term... Is there a pattern?