2. 3/12/2016Agenda Textbook / Web Based ResourceTextbook / Web Based Resource –Geometric Sequences –Finite Series –Infinite Series ClassworkClasswork INSERT HERE HomeworkHomework INSERT HERE

3. 3/12/2016 Geometric Sequences

4. 3/12/2016 By the end of the day You should know how to: Determine if a sequence is geometricDetermine if a sequence is geometric Find the common ratio of a geometric sequenceFind the common ratio of a geometric sequence Find the first 5 terms of a geometric sequenceFind the first 5 terms of a geometric sequence Find a specific term of a geometric sequenceFind a specific term of a geometric sequence Find a formula for a geometric sequenceFind a formula for a geometric sequence Find the sum of a finite or infinite geometric sequenceFind the sum of a finite or infinite geometric sequence

5. 3/12/2016 Geometric Sequences Geometric Sequence: Sequence where between any 2 consecutive terms is a common ratio The nth Term of a Geometric Sequence: Explicit Formula: (Find any term) an = a1(r)n-1 Recursive Formula: (Find the next term) an+1 = r*an

6. 3/12/2016 Geometric Sequences To determine if a Sequence is Geometric: Divide Term 2 by Term 1 Divide Term 3 by Term 2 –I–I–I–If these produce different results, the sequence is not geometric Divide Term 4 by Term 3 –I–I–I–If you do not get the same number each time, the sequence is not geometric –I–I–I–If you do get the same number, this is the constant ratio

7. 3/12/2016 Geometric Sequence You Try These on Your Own: 1.INSERT YOUR PROBLEMS HERE

8. 3/12/2016 Geometric Series Series – The sum of the terms of a sequence The sum of a Finite Geometric Sequence: The sum of an Infinite Geometric Series If |r| < 1, you can find the sum of an infinite geometric series.

9. 3/12/2016 Geometric Series You Try These on Your Own: 1.INSERT YOUR PROBLEMS HERE

10. 3/12/2016 It’s the end of the day Do you know how to: Determine if a sequence is geometric?Determine if a sequence is geometric? Find the common ratio of a geometric sequence?Find the common ratio of a geometric sequence? Find the first 5 terms of a geometric sequence?Find the first 5 terms of a geometric sequence? Find a specific term of a geometric sequence?Find a specific term of a geometric sequence? Find a formula for a geometric sequence?Find a formula for a geometric sequence? Find the sum of a finite or infinite geometric sequence?Find the sum of a finite or infinite geometric sequence?

11. 3/12/2016Homework Study: INSERT HERE Do: Read & Take Notes: INSERT HERE

12. 3/12/2016 Resource Credits Justin Bohannon Justin Bohannon Justin Bohannon