19 Sequences and the Binomial Theorem
LEARNING OUTCOMES
After completion of this chapter, the student should be able to:
Find the terms, common difference, number of terms, or sum of an arithmetic sequence
Find the terms, common ratio, number of terms, or sum of a finite geometric sequence
Find the sum of an infinite geometric series
Evaluate expressions involving factorials
Expand binomials to any power using Pascal’s triangle and the binomial theorem
Obtain terms of a binomial series
Solve application problems involving sequences and series
If a person is saving for the future and invests $1000 at 5%, compounded annually, the value of the investment 40 years later would be about $7040. Even better, if the interest is compounded daily, ...
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