@article {MATHEDUC.06520645,
author = {Davis, Marsha},
title = {Modeling with sequences.},
year = {2015},
journal = {Consortium},
volume = {108},
issn = {0889-5392},
pages = {17 p., pull-out section},
publisher = {COMAP (Consortium for Mathematics and Its Applications), Bedford, MA},
abstract = {From the text: In Activity 1, students use two types of sequences to model population growth over time. The assumption that population grows by a constant amount each year leads to an arithmetic-sequence. A more realistic assumption that population grows by a constant annual percentage leads to a geometric sequence. The context in Activity 2 is credit-card debt. In the first scenario, no interest is charged and the \$ 200 payments lead to debt balances that form an arithmetic sequence. In the second scenario, interest is charged on the balance. In this case, the debt balances form a mixed sequence (a combination of arithmetic and geometric sequences). In Activity 3, students work with sequences that describe the rows of Pascal's triangle. A search for efficient formulas to calculate various terms in Pascal's triangle leads to several of Pascal's identities, which appear in his ``Treatise on the Arithmetical Triangle". Finally, the connection is made between the terms in the $n$th row of Pascal's triangle and combinations ``$n$ choose $k$" for $k=0$,\dots $n$. Then, students use the rows of Pascal's triangle to construct probability models for the number of heads in $n$ flips of a coin.},
msc2010 = {D80xx (I30xx K20xx M10xx)},
identifier = {2016a.00420},
}