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What are the next 2 numbers in the pattern? 1.) 1, 5, 9, 13, … 2.) 1, 3, 9, 27, … 3.) 1/4, 1/8, 1/16, 1/32, … 4.) 100, 211, 322, 433, … 5.) 5, 1, -3, -7, -11… 6.) 8, 12, 18, 27, … Sequence- An ordered list of numbers Arithmetic SequenceA sequence in which the difference between any two consecutive terms is the same Term- Each number in a sequence is called a Term. Common Difference The difference between terms in an arithmetic sequence is the common difference. Find the common difference in each sequence, and give the next 3 terms. 1.) 2, 4, 6, 8, … 2.) -3, -1, 1, 3, 5, … 3.) 30, 0, -30, -60, -90, … 4.) 11, 6, 1, -4, -9, … Geometric SequenceA sequence in which the quotient of any two consecutive terms is the same Common RatioThe quotient of two consecutive terms in a geometric sequence Find the common ratio in each sequence, and give the next 2 terms. 1.) 2, 4, 8, 16, 32, … 2.) -5, -15, -45, -135, … 3.) 1/2, 1/20, 1/200, 1/2000, … 4.) .75, 1.5, 3, 6, 12, … State whether each sequence is arithmetic, geometric, or neither. Then state the next three terms. 1.) .6, 1.2, 1.8, 2.4, 3, … Arithmetic 3.6, 4.2, 4.8, … 2.) -128, -64, -32, -16, -8, … Geometric -4, -2, -1, … 3.) 1, 1, 2, 3, 5, 8, 13… Neither 4.) 21, 34, 55, … 11, 11, 11, 11, 11, … Geometric 11, 11, 11, … Going Farther Find the sum of the following arithmetic sequence. 25, 32, 39, 46, 53, 60, 67, 74 25, 32, 39, 46, 53, 60, 67, 74 n S n 2a n 1d 2 n = number of terms in the sequence a = the first term d = the common difference n S n 2a n 1d 2 n = number of terms in the sequence a = the first term d = the common difference Find the sum of the following sequences: 34, 46, 58, … , 106 7, 11, 15, …, 35 New Stadium Goshen Middle School is going to build a new basketball stadium that has seating all around the court. The first row of seats has 150 seats in it. How many total seats will the stadium have if there are 50 rows of seats and each row has 12 more seats than the row in front of it? Homework Enrichment 5.6 and P 251 Problems on the back.
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