Use sigma notation for expression

AI Thread Summary
The discussion focuses on finding a formula for the expression (x + 1/y)^n using sigma notation. Participants express uncertainty about applying sigma notation, particularly since their previous experience has primarily involved n as a variable. The binomial theorem is suggested as a method to expand the expression effectively. An example is provided to illustrate how sigma notation can represent sums where only the exponent varies. The conversation emphasizes the need to adapt their understanding of sigma notation to include additional variables.
synergix
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1. The problem statement, all variables and given/nknown data
Find a formula for the expression. Use sigma notation.
(x + 1/y)n

The Attempt at a Solution



Not sure how to do this we have only dealt with sigma notation involving only n as a variable
 
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Use the binomial theorem to expand the expression.

Not sure how to do this we have only dealt with sigma notation involving only n as a variable

Example:

\sum_{n=1}^{5} x^n = x + x^2 + x^3 + x^4 + x^5​

Notice that although x is a variable, it does not vary from term to term. The only thing that varies from term to term is the exponent. Your problem is similar.
 
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