Download presentation

Presentation is loading. Please wait.

Published byCory Hill Modified over 7 years ago

1
12.2: Analyze Arithmetic Sequences and Series HW: p.806-807 (4, 10, 12, 14, 24, 26, 30, 34)

2
In an arithmetic sequence, the difference of consecutive terms is constant. This difference is called the common difference and is denoted by d. Tell whether the sequence is arithmetic: -4, 1, 6, 11, 16, … 3, 5, 9, 15, 23, …

3
The nth term of an arithmetic sequence with first term a 1 and common difference d is given by: a n = a 1 + (n – 1)d This is an explicit rule because it gives a n as a function of the term’s position number n in the sequence. What is another way to express this rule?

4
1.) 4, 9, 14, 19, … 2.) 60, 52, 44, 36, …

5
1.) One term of an arithmetic sequence is a 19 = 48. The common difference is d = 3. Write a rule. 2.) Two terms of an arithmetic sequence is a 8 = 21 and a 27 = 97. Write a rule.

7
1.) 2.) -1 + 4 + 9 + … + 34

8
12.3: Analyze Geometric Sequences and Series HW: p.814-815 (4, 6, 10, 16, 18, 24, 28, 36) Test 12.1-12.3, 12.5: Wed., 5/20

9
In a geometric sequence, the ratio of any term to the previous term is constant. This constant ratio is called the common ratio and is denoted by r. Tell whether the sequence is geometric: 4, 10, 18, 28, 40, … 625, 125, 25, 5, 1, …

10
The nth term of a geometric sequence with first term a 1 and common ratio r is given by: a n = a 1 r n-1 This is an explicit rule because it gives a n as a function of the term’s position number n in the sequence.

11
The nth term of a geometric sequence: a n = a 1 r n-1 Write a rule for the nth term of the sequence. Then find a 7. 1.) 4, 20, 100, 500, … 2.) 152, -76, 38, -19, …

12
1.) One term of a geometric sequence is a 1 = -2. The common ratio is r = 6. Write a rule. 2.) One term of a geometric sequence is a 4 = 12. The common ratio is r = 2. Write a rule.

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google