unit 10 sequences and series homework 1 answers

#Unit 10 sequences and series homework 1 answers how to#

This means that it is up to you to find the one to use to fit that series. There are many tests that can be used to determine series convergence and divergence.

#Unit 10 sequences and series homework 1 answers how to#

This means that you know how to rewrite any function as an infinite power series.Ĥ) Apply an appropriate mathematical definition, theorem, or test. This means that you know how to interpret Lagrange and alternating series error bounds as the maximum error of an infinite series given a partial series.ģ) Identify a re-expression of mathematical information presented in a given representation. This means that you should know how to calculate the error bounds to analyze series, with the alternating error bound for alternating series and the Lagrange Error Bound for power series.Ģ) Explain how an approximated value relates to the actual value. Mathematical Practicesįour of the College Board's mathematical practices for AP Calculus are used in this unit, which are outlined below.ġ) Apply appropriate mathematical rules or procedures, with and without technology. The concepts in this unit may seem difficult at first, but with a little practice, you will be able to understand them. You will also need to understand the two types of error bounds you will encounter in this unit. It is important that you know the conditions for all the tests and what they tell you. You will learn 6 tests for different types of series to glean information about them. If you haven’t ever heard of analysis in a mathematical sense before, this is just the study of functions and how they behave over time. This unit emphasizes the study of series analysis. This unit builds from past knowledge of limits, differentiation, and integration, but applies this to a new concept - series. Well, after going through countless limits, derivatives, and integrals, you’ve made it here! Welcome to Unit 10, the last unit of AP Calculus BC! Before we move on, give yourself a pat on the back for all your hard work!

Always one FRQ on this unit (usually FRQ 6)