Arithmetic Sequences

Introduction to Arithmetic Sequences: What is anarithmetic sequence?An arithmetic sequence is an ordered list of numbers in which the difference between each pair of consecutive terms, or numbers in the list, is the same.In other words, the difference between each number in a list is the same.Example:{1, 5, 9, 13, 17, 21,....} is an arithmetic sequence with a common difference of 4. Arithmetic Sequences Review Watch this video for a short recap of yesterday's lesson. Vocab Review! Match each term with its definition. Sequence A set of numbers that follows a pattern. Term Each number in a sequence. Arithmetic Sequence A sequence in which the difference between any two consecutive terms is constant. Common Difference The numerical difference, d, between any two consecutive terms in an arithmetic sequence. Practice: Arithmetic Sequence or not? Sort the following into "Arithmetic Sequence" or "Not an Arithmetic Sequence": Arithmetic Sequence {13, 18, 23, 28,...} {3, 0, -3, -6, -9, ....} {-16, -12, -8, -4, ....} Not an Arithmetic Sequence {-2, 0, 4, 12, ....} {9, 12, 18, 20,....} {-4, -8, -10, -15,...} REMINDER!!!! The "n" represents the position the number is in. Practice: Write the next three terms in the arithmetic sequences below 1. {4, 12, 20, 28, 36, 44, 52}. The common difference is 8.2. {-4, -6, -8, -10, -12, -14, -16}. The common difference is -2. The sequences below are arithmetic. Match each sequence with its common difference. 5, 8, 11, 14, ... d = 3 -17, -12, -7, -2, ... d = 5 -8, -11, -14, -17, ... d = -3