Name: ____________________________ Date: ______________________________

MCR3U – Test #1 Review

	Your test for Chapter 1 will be Tuesday, March 6th, 2007.  You will have the entire class period and any part of lunch that you choose to utilize.  If you wish to bring an MP3 player, you may use it as long as it doesn’t distract the people around you.  This paper will detail for you the different types of topics that were discussed in this chapter.

Definitions
	The first page of the test will be definitions.  Here are the following terms that you should be able to know, explain and use.  The definitions are provided in your notes and in the textbook:
	Sequence					term
	Finite sequence				infinite sequence
	General term				discrete
	Continuous					recursive sequence
	Arithmetic sequence			geometric sequence
	Compound interest			common ratio
	Principle					amount
	Rational number				exponential equation

This is a section-by-section view of this chapter, with specific questions from each section completed.
1.1 – Exploring Patterns and Sequences
	In this section we got used to the nomenclature of what a general term was an how to find the specific terms if we were given a general term
	p. 98 #4, 6, 7

1.3 – Recursive Formulas
	In this section we discovered what a recursive sequence is.  Remember that the terms in a recursive formula are based on previous terms.  You will be expected if given a sequence to write it in recursive form and in arithmetic/geometric if possible.
	p. 98 #10, 11, 13

1.6 – Arithmetic Sequences
	In this section we learned that an arithmetic sequence is a sequence where each term is obtained by adding a common difference.  You should be comfortable with using the formula tn = a + (n-1)d 
	p. 99 #17, 19, 20
1.7 – Geometric Sequences
	In this section we learned that a geometric sequence is a sequence where each term is obtained by multiplying by a common ratio.  You should be comfortable with using the equation tn = arn-1 and its applications
	p. 100 #24, 25

1.8 – Compound Interest
	This was an application of the geometric sequences, where we learned how to calculate the amount of money if saved over long periods of time.  You should be comfortable with the equation A = P(1+i)n and its applications, and be able to solve for any variable.
	p. 100 #29, 30, 31, 32

1.9 – Rational Exponents
	Here we learned how to deal with fractional exponents by simplifying the base.  Please ensure in this section (and the subsequent sections) that you are comfortable doing these.
	p. 101 #34, 35

1.10 – Simplifying Expressions Involving Exponents
	In this section we used our exponent laws which will help us to turn problems which are complicated into problems which are simple.
	p. 102 #40, 41, 42, 43

1.11 – Solving Exponential Equations
	This section showed us how to solve equations with variables in the exponents.  Remember to find common bases and then drop the bases.  Please be comfortable with questions involving quadratics in the exponents and determining the # of terms in a geometric sequence
	p. 103 #47, 48, 49, 50

	Please note that it is not necessary to do all questions listed on this page.  If you go through the questions and you say “I know how to do that” then that’s fine.  If you have difficulty with some of these questions, then there are lots of resources available in here to help.  Remember that Math Help Center is Tuesdays and Wednesday’s in room 24E at lunch, and I am available at lunch, before school and after school for assistance when necessary.

Other things to remember:

Choice Assignment #2 (being handed out today) is due Monday!

	For those skiers who will not be here tomorrow, look at the questions from Section 1.11, specifically Example 1, 3, 4 on page 89.  You will almost definitely be asked to find the number of terms in a geometric sequence on your test.  For those that are here on Friday, we will go through that in class.  Remember that Monday is a review day for your test on Tuesday.  Good luck and see you on Friday!