Question: Is there a way to get maple to deduce the closed sum form from the first few terms of a series?

What I mean is for example, the series

# 1-t+t^2-t^3+...;         -----------------------(1)

equals to

1/(1+t); # modulus of t < 1 --------------(2)

so given the terms in (1) above could maple deduce (2)  ?

 

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