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This quick review covers the concepts of set intersection and union, arithmetic and geometric sequences, Greatest Common Factor (GCF), and Least Common Multiple (LCM). Practice questions included for PSAT preparation.
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Chapter 5 - Percents PSAT Preparation
QUICK REVIEW - But First… Let’s Review! Sets The Intersection of two sets X and Y is the set of elements common to X and Y. An element has to be in both sets to be in the intersection. Intersection is written X ∩ Y. The Union of two sets X and Y is the set of all elements in either set X or set Y, with no element repeated twice. An element that is in one set or both sets is in the union. Union is written X U Y.
QUICK REVIEW - Sequences Arithmetic Sequence – a sequence in which each term is a constant difference d from the previous term. The formula can be used to find the nth term of an arithmetic sequence. Example: 3, 6, 9… and d = 3 Fourth term: Geometric Sequence – a sequence such that each term is given by a constant multiple r of the previous one. Find the next three terms in the sequence: 3, 6, 12,… In this sequence r = 2. Therefore, the next three terms in the sequence are 24, 48, 96 The formula can also be used to find the nth term of the Sequence. In this problem a1 = 3 and r = 2. Sixth term:
The GREATEST COMMON FACTOR (GCF) of two numbers is the largest factor the two numbers have in common. GCF and LCM The LEAST COMMON MULTIPLE (LCM) of two numbers is the smallest multiple two numbers have in common.
Homework Chapter 5 Practice SAT Questions: 1 - 21