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This resource focuses on recognizing and understanding geometric sequences, which are ordered sets of numbers where each term is found by multiplying the preceding term by a constant known as the common ratio. It discusses characteristics of geometric sequences, including growth, decay, and constant value cases, providing essential examples for clarity. Additionally, classwork and homework exercises are included to reinforce the concepts learned.
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EX 5D RECOGNITION OF GEOMETRIC SEQUENCES
IDENTIFYING GEOMETRIC SEQUENCES A sequence is an ordered set of numbers. A geometric sequence is one in which the first term is multiplied by a number, known as the COMMON RATIO, to create the second term which is multiplied by the common ratio to create the third term, and so on.
IMPORTANT! In a sequence that grows and where each term is positibe, the r value is GREATER than 1. In a sequence that decays and where each term is positive, the r value is between 0 and 1. In a sequence like 2, 2, 2, 2, 2….the r value is equal to 1. In a sequence like 2, -6, 18, -54…the r value is less than -1 In a sequence like -54, 18, -6, 2…the r value is between -1 and 0.
CLASSWORK/HOMEWORK Ex 5D pg 221 Q’s 1(LHS), 2, 3(LHS), 4, 5(LHS), 6, 7(LHS), 8, 9(LHS), 10, 11(LHS), 12, 14, 15, 16, 17