Transcript Do Now
Do Now “Alien Activity” on my website….find the ordered pair where each space invader is located 1/23/2015 7-1 D Function Rules • sequence: a list of numbers in specific order Examples: 1,2,3,4,5 10,9,8,7,6 5,10,15,20,25 • term: each number in a list • Arithmetic sequence: sequences that terms can be found by adding the SAME number to the previous term Each month, you choose 3 new DVDs from a DVD club. DVDs Month DVDs Position 1 2 3 4 3 Value +3 6 9 12 Written as a sequence: 3, 6, 9, 12, 15, … +3 +3 Helpful Hint Look for a relationship between the 1st term and the 2nd term. Check if this relationship works between the 2nd term and the 3rd term, and so on. Ex. 1 Identify a pattern in each sequence and then find the missing terms. 48, 42, 36, 30, –6 –6 –6 –6 , –6 , ,... –6 So 24, 18, and 12 will be the next three terms. Ex. 2 Position Value of Term 1 9 2 22 3 35 4 48 5 6 +13 +13 +13 +13 +13 61 and 74 will be the next terms in the arithmetic sequence. *Not all sequences are arithmetic. Ex. 3 Identify a pattern in the sequence. Name the missing terms. 24, 34, 31, +10 –3 41, 38, 48, +10 –3 +10 , , –3 +10 –3 45, 55, and 52 are the missing terms. ,… Ex. 4 Notice that the value of each term is 7 times its position number. The value of the term in position n is 7n. Now find the value of the tenth term. 7n = 7 ● 10 = 70 Replace n with 10. Multiply. The value of the tenth term in the sequence is 70. Ex. 5 There are 60 seconds in 1 minute. Construct a table and write an algebraic expression relating the number of seconds to the number of minutes. Then find how many seconds it takes Shaila to walk to school if it takes her 9 minutes. First construct the table. It takes Shaila 540 seconds to walk to school. Identify a pattern in each sequence, and then find the missing terms. 1. 12, 24, 36, 48, , , , … add 12; 60, 72, 84 2. 75, 71, 67, 63, , , ,… subtract 4; 59, 55, 51 Identify a pattern in each sequence. Name the missing terms. 3. 1000, 500, 4. 100, 50, 200, , 125,… , 400, divide by 2; 250 divide by 2 and ,… multiply by 4; 100, 200 Exit Ticket Homework • Pg. 380 #1-28 Evens • Coordinate Plane Project due 1/27