Understanding sequences

The  exercise appears under the Integral calculus Math Mission. This exercise practices the notation of sequences in various forms.

Types of Problems
There is one type of problem in this exercise:


 * 1) Answer the question about the sequence: This problem provides a sequence defined in either an explicit or recursive fashion. The student is expected to use knowledge of the sequence to answer a question about the sequence or it's terms.Undseq1.png

Strategies
Knowledge of recursive and explicit forms of sequences are encouraged to ensure success on this exercise.
 * 1) This problem contains both recursive (defined in terms of previous values) and explicit forms of sequences.
 * 2) The questions range and have been seen to involve finding sums or terms, averages of terms, or just a specific term. This is not an exhaustive list of possibilities.

Real-life Applications

 * 1) Real-life situations are not "exact" so approximating functions are used as models of real-life behavior in the sciences and economics.
 * 2) Pattern recognition, as in sequences, is a skill that indicates high intelligence as measured by tests like the IQ test.