1 / 13

Daily Check

Daily Check. Find the first 3 terms of the following sequence: Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10. Math II. UNIT QUESTION: How is a geometric sequence like an exponential function? Standard: MM2A2, MM2A3 Today’s Question:

yehuda
Download Presentation

Daily Check

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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. 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 a10 = 4• 512 a10 = 2048

  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 Day 2: Workbook p. 159 #2-8, 14, 20

  13. Homework Page 145 #2-16 (even)

More Related