Download presentation

Presentation is loading. Please wait.

Published byJaniya Drain Modified over 2 years ago

1
**Daily Check Find the first 3 terms of the following sequence:**

Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10

2
**How is a geometric sequence like an exponential function?**

Math II UNIT QUESTION: How is a geometric sequence like an exponential function? Standard: MM2A2, MM2A3 Today’s Question: How is a geometric sequence like an exponential function? Standard: MM2A3f,g

3
Sequences and Series

4
Geometric Sequences In geometric sequences, you multiply by a common ratio each time. 1, 2, 4, 8, 16, ... multiply by 2 27, 9, 3, 1, 1/3, ... Divide by 3 which means multiply by 1/3

5
**Geometric Sequences Find the 8th term of the sequence: 2,6,18,…**

Determine the pattern: Multiply by 3 (known as the common ratio) Write the new sequence: 2,6,18,54,162,486,1458,4374 So the 8th term is 4374.

6
**Geometric Sequences Again, use a formula to find large numbers.**

an = a1 • (r)n-1

7
**Geometric Sequences Find the 10th term of the sequence : 4,8,16,…**

an = a1 • (r)n-1 a1 = 4 r = 2 n = 10

8
**Geometric Sequences an = a1 • (r)n-1 a10 = 4 • (2)10-1 a10 = 4 • (2)9**

9
**Geometric Sequences Find the ninth term of a sequence if**

a3 = 63 and r = -3 a1= ? n= 9 r = -3 a9 = ? There are 2 unknowns so you must…

10
**Geometric Sequences First find t1.**

Use the sequences formula substituting t3 in for tn. a3 = 63 a3 = a1 • (-3)3-1 63 = a1 • (-3)2 63= a1 • 9 7 = a1

11
**Geometric Sequences Now that you know t1, substitute again to find tn.**

an = a1 • (r)n-1 a9 = 7 • (-3)9-1 a9 = 7 • (-3)8 a9 = 7 • 6561 a9 = 45927

12
**Class work Day 1: Workbook p. 159 #1-9, 13-15, 19 odd**

13
Homework Page 145 #2-16 (even)

Similar presentations

OK

Math II UNIT QUESTION: How is a geometric sequence like an exponential function? Standard: MM2A2, MM2A3 Today’s Question: How do you recognize and write.

Math II UNIT QUESTION: How is a geometric sequence like an exponential function? Standard: MM2A2, MM2A3 Today’s Question: How do you recognize and write.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on power transmission lines Ppt on resources and development class 10 cbse result Ppt on virtual file system Ppt on surface chemistry Ppt on network theory business Ppt on switching network protocol Ppt on business environment nature concept and significance of research Ppt on job evaluation definition Ppt on marketing management for class 12 Ppt on different sectors of economy