SEQUENCES AND SERIES.
FINITE AND INFINITE ARITHMETIC AND GEOMETRIC SEQUENCES AND SERIES.
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What You Will Learn!
- He or She will be able to identify what type a given sequence or series is and find a formula for the nth term, any required term and the sum.
- The Learner will be able to indicate whether a given sequence or series is arithmetic, whether it is finite or infinite, find a formula for the nth term.
- The Learner will be able to identify whether a given sequence is geometric, whether it is finite or infinite, find a formula for its nth term.
- He or She will be able to solve for any term , find the sum of finite and infinite arithmetic and geometric sequence and series, use sigma notation to find sum.
- The Learner can expect to solve for the sum of infinite arithmetic sequence and series by partial sum method.
- Plot and identify graphs of arithmetic and geometric sequences and series.
- Use factorial method to simplify arithmetic or geometric expressions and equations.
- Use summation notation to solve for the sum of finite and infinite geometric sequence and series.
- Use summation notation to solve for the sum other type of sequence and series.
Description
This is 7 hours 45 minutes of intensive course on sequences and series. It comprises in-depth knowledge of the course: use sequence notation to write terms of a sequence, write a rule for the nth term of a sequence, sum the terms of a sequence to obtain a series and use summation notation, learn about finite and infinite sequences and series, respectively ; use table of values and graphs to illustrate pattern of sequence , identify arithmetic sequences, write a rules for the nth term of arithmetic sequences, solve for a required term when two other terms are given, find partial sum and sums of finite arithmetic sequences using arithmetic progression formula, use sigma notation method to find the sum of arithmetic sequences and series ,use table of values and graphs to illustrate the concept of finite arithmetic sequence, model with arithmetic sequences and series, identify geometric sequences, write rules for geometric sequences, find partial sum and sums of finite geometric sequences using summation notation and to find sums using geometric progression formula, use table of values and graphs to illustrate the relationship between the terms of a given geometric sequence , Solve for the partial sum of infinite geometric series and sum of infinite geometric series by using formula of sum to infinite of geometric progression and use sigma notation to find the infinite sum of geometric sequences and series. Finally, there is a lecture on how to split infinite geometric series into two portions and solve for the sum to infinite of individual portions after which the two sums obtained are added together to get the required sum to infinite of the given special type of geometric series.
Who Should Attend!
- This course is for all level of students. Mainly secondary school, college, tertiary, polythnic and university student will definitely find this lectures indispensable for learning what sequence and series are all about with several questions to make more interesting.