{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

CBC-Chp-11-1-NTs

# CBC-Chp-11-1-NTs - CalcBC Chp 11-1 Sequences Notes 1...

This preview shows pages 1–2. Sign up to view the full content.

CalcBC Chp 11-1 Sequences Notes 1. SEQUENCE An ordered list of numbers "Ordered" means the numbers are not randomly listed, instead they came from a formula/expression where consecutive positive integers were used to create a list TERMS The numbers in a sequence typically terms are denoted as a 1 , a 2 , a 3 , a 4 , … , a n where the subscripts indicate the place in the sequence a n Is the " nth term " It is the GENERAL TERM It is also referenced as the last term of a FINITE sequence , or the term approaching the faaaaaaaaarrrrrrrrrrrr end of an infinite sequence GENERAL TERM -- The formula/expression used to make a sequence (used to define the sequence) Ex-- a n = a n = a n = 3n + 1 * Where n can be 0 and positive integers only Ex(figure out the explicit general term) Given each sequence find the general term a n . (a) (b) 2. CONVERGE -- Sequence approaches a specific value (it does not go to infinity) Theorem: A sequence converges if = L , otherwise it diverges Ex(graphical look at a sequence) For each sequence determine if the sequence converges or diverges.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}