INFINITE SEQUENCES AND SERIES

 

In the previous unit, sequences and series were evaluated to the “nth” term. In each case we used formulas to determine the first and last terms, found the common difference or common ratio, used the information to find the arithmetic means (A.M.), found the “nth” partial sums, and performed other tasks to examine their properties. In every instance our analysis examined the sequence or series in the “finite sense. In other words, the evaluation processes stopped within the constraints of a “last term”. In this unit we extend our examination to the “infinite”.

 

 
 
Proof of infinite geometric series as a limit (video) | Khan Academy
 
Strategy in Finding Limits
 
 
 




Below are additional educational resources and activities for this unit.
 
Infinite Geometric Series
 
Sequences
 
Infinite Series