Download 3.6 Notes Alg1.notebook

3.6 Notes Alg1.notebook
November 01, 2012
3­6 Arithmetic Sequences
Skills we've learned
For Items 1 and 2, identify the correlation you would expect to see between each pair of data sets. Explain.
1. The outside temperature in the summer and the cost of the electric bill
2. The price of a car and the number of passengers it seats
3. Graph 3x ­ 2y = 6
Skills we need
1. 6(x – 1) where x = 5
2. 10 + (5 – 1)d where d = –4
3.6 Notes Alg1.notebook
November 01, 2012
Warm­up Answers
3. Graph 3x ­ 2y = 6
1. 6(x – 1) where x = 5
24
2. 10 + (5 – 1)d where d = –4
­6
3.6 Notes Alg1.notebook
November 01, 2012
3­6 Arithmetic Sequences
1. Recognize and extend an arithmetic sequence.
2. Find a given term of an arithmetic sequence.
To estimate the distance between you and a thunderstorm
I. Identifying Arithmetic Sequences
Definition:
A sequence of numbers where the terms of a sequence differ by the same nonzero number, d.
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.
1. 9, 13, 17, 21,…
3.6 Notes Alg1.notebook
November 01, 2012
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.
2. 10, 8, 5, 1,…
3.
4. –4, –2, 1, 5,…
II. Finding the nth term of an Arithmetic Sequence
3, 5, 7, 9, ...
To find an Arithmetic Sequence, first find a pattern:
3.6 Notes Alg1.notebook
November 01, 2012
5.
6. Find the indicated term of the arithmetic sequence.
The 25th term: a1 = –5; d = –2
The 25th term is –53. 3.6 Notes Alg1.notebook
November 01, 2012
7. Find the indicated term of the arithmetic sequence.
60th term: 11, 5, –1, –7, …
The 60th term is –343.
III. Application
8. A bag of cat food weighs 18 pounds at the beginning of day 1. Each day, the cats are fed 0.5 pound of food. How much does the bag of cat food weigh at the beginning of day 30?
3.6 Notes Alg1.notebook
November 01, 2012
9. Each time a truck stops, it drops off 250 pounds of cargo. After stop 1, its cargo weighed 2000 pounds. How much does the load weigh after stop 6? There will be 750 pounds of cargo remaining after stop 6.
How is identifying an arithmetic sequence similar to identifying a function rule?
3.6 Notes Alg1.notebook
November 01, 2012
3­6 p.209 #3 ­ 33 odds, 39, 41
EXTRA CREDIT!! Go online and do the assignment called "Chapter 3 Cummulative Test"