Understanding series

The  exercise appears under the Precalculus Math Mission. This exercise involves finding a number in the series.

Types of Problems
There are three types of problems in this exercise:
 * 1) Find the nth term in the series: This problem provides a infinite series. The student is asked to find a number in the series using what they know about finding a number in a series and write it in the space provided.Series.png
 * 2) Evaluate the given series: This series provides a series. The student is required to solve the series and write it in the space below. An example is given for reference. Evaluate.png
 * 3) Find the rule for the sequence: The problem gives a series which is given by Sn. The student is required to write the rule (an algebraic expression in terms of n) in the space provided. Write_rule.png

Strategies
Knowledge of the process of finding the rule would ensure accuracy and efficiency on this exercise.

Real-life Applications
involving evaluations of functions, an interesting computer application.
 * 1) Series involve one of the most powerful ideas in mathematics. In particular, power series are amazingly useful for doing all kinds of things. One thing they are very useful for is approximations of functions, which is necessary in virtually all computer applications