The Understanding series exercise appears under the Precalculus Math Mission, Mathematics III Math Mission and Integral calculus Math Mission. This exercise involves finding a number in the series.
Types of Problems[]
There are three types of problems in this exercise:
- Find the nth term in the series: This problem provides a infinite series. The user 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.
Find a number in the series
- Evaluate the given series: This series provides a series. Users are required to solve the series and write it in the space below. An example is given for reference.
Evaluate the given series
- Find the rule for the sequence: The problem gives a series which is given by Sn. The user is required to write the rule (an algebraic expression in terms of n) in the space provided.
Write the rule for the series
Strategies[]
Knowledge of the process of finding the rule would ensure accuracy and efficiency on this exercise.
- The nth term of the series is the difference between successive partial sums.
Real-life Applications[]
- 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 involving evaluations of functions, an interesting computer application.