1. Arithmetic Sequences

2. Language Goal  Students will be able recognize and extend an arithmetic sequence. Math Goal  Students will be able to find a given term of an arithmetic sequence. Essential Question  How do you find a given term without finding every term in between?

6.  Sequence:  Term:  Arithmetic Sequence:  Common Difference: A list of numbers that often forms a pattern. Each number in a sequence. A sequence in which the terms differ by the same nonzero number. The same nonzero number in which an arithmetic sequence differs. d

7.  Determine whether each sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence. 1. 12, 8, 4, 0, … 2. 1, 4, 9, 16, …

11. The n th term of an arithmetic sequence with common difference d and first term a 1 is a n = a 1 + (n – 1)d

12.  Find the indicated term of each arithmetic sequence. 1. 22 nd term: 5, 2, -1, -4, … 2. 15 th term: a 1 = 7; d = 3

13.  Find the indicated term of each arithmetic sequence. 3. 60 th term: 11, 5, -1, -7, … 4. 12 th term: a 1 =4.2; d = 1.4

14.  Find the indicated term of each arithmetic sequence. 5. 16 th term: 4, 8, 12, 16, … 6. 25 th term: a 1 = -5; d = -2

15.  The odometer on a car reads 60,473. Every day, the car is driven 54 miles. What is the odometer reading 20 days later?

16.  Each time a truck stops, it drops off 250 pounds cargo. It started with a load of 2000 pounds. How much does the load weigh after the fifth stop?

17.  A bag of cat food weighs 18 pounds. Each day, the cats are fed 0.5 pound of food. How much does the bag of cat food weigh after 30 days?