Complex number question: express as a+bi

[sw1]

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.

[Hootenanny]

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.

[dynamicsolo]

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?