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July 15, 2016 12.2 - Arithmetic Sequences A sequence is a list of numbers. (A pattern is not necessary) Ex 1) 2,5,8,11,14, .... Number/Position of term Term value July 15, 2016 Arithmetic Sequence - A sequence in which the difference (d) of consecutive terms is constant. Determine if the sequence is arithmetic. If so, identify the common difference. 2) -4, 1, 6, 11, 16.... 3) 2, 6, 18, 54, .... 4) 8, 3, -2, -7, ... 5) 3, 5, 8, 12, 17....... 9) Which of the sequences on the mini sheet were arithmetic? July 15, 2016 Find the first 5 terms of each sequence. 6) 7) July 15, 2016 Find the first 5 terms of each sequence. 7) July 15, 2016 The nth term rule for an arithmetic sequence is where a1 is the first term of the sequence and d is the common difference. Find the formula for the nth term in each arithmetic sequence. 10) 4, 9, 14, 19....... b) Find the 20th term 11) -1, -3, -5, -7...... b) Find the 30th term July 15, 2016 12) 5, 11, 17, 23, 29........ b) Find the 80th term 13) b) Find the 40th term July 15, 2016 Find a formula for each arithmetic sequence. 14) a27 = 263, d = 11 15) a16 = 52, d = -8 July 15, 2016 16) a10 = 148, a44 = 556 July 15, 2016 Homework: pg. 806 #3-27 EOO July 15, 2016