Geometry & Finite HUnit 14 – Sequences & Series

Mrs. Youndt

DATE TOPIC(S) ASSIGNMENT

1Intro to SequencesPascal’s Triangle

Arithmetic & Geometric SequencesDay 1 HW

2 Sequence Notation & Related Word Problems

Day 2 HW

3 Modeling Growth Day 3 HW

4 A First Look at Limits Day 4 HW

5 Recursion Routine for Sequences(Calculator Program 1C)

Day 5 HW

6 A Recursive Look at Series(Calculator Program 1D)

Day 6 HW

7 Sequence or Series?? Day 7 HW

8 Sigma Notation Day 8 HW

9 Review Review Sheet

10 Unit 14 Test

Geo H Unit 14: Day 1 HW Intro to Sequences; Pascal’s Triangle; Arithmetic & Geometric Sequences

For the following, use the rule to generate the first 4 terms. Start with n= 1, then n = 2 and so on. Determine if the sequence is arithmetic, geometric or neither.

19. Rule:

20. Rule:

21. Rule:

22. Rule:

23. Write your own rule to generate the following:

a. An arithmetic sequence b. A geometric sequence

Geo H Unit 14; Day 2 HW Sequence Notation & Related Word Problems

Geo H Unit 14; Day 3 HW Modeling Growth – Show the recursive formula you use.

Geo H Unit 14; Day 4 HW A First Look at Limits

Geo H Unit 14; Day 5 HW Recursion Routine for Sequences

Show how you changed the calculator program for each question below. Find the indicated term.

Geo H Unit 14; Day 6 HW A Recursive Look at SeriesShow what you typed into the calculator for each set of questions.Find the indicated sum.

Geo H Unit 14; Day 7 HW Sequence or Series?? – Show your method for each (formula, program, etc.)

1. Given the sequence find

a. a15. b. S8

c. Which term has the value 98,304?

2. A particular school board’s budget includes $50,000 for classroom technology this year, with an increase of 4% per school year.

a. How much will the school district spend on classroom technology 6 years from now?

b. What will be the total amount spent over the 6 years on classroom technology?

3. Chris is saving money to buy a mountain bike. He puts $100 into a saving account with 4.5% interest compounded monthly.

a. How much will be in the account after 6 months?

b. After one year?

c. If the bike costs $200, in how many months can he afford the bike?

4. Inside a particular theater, the first row has 30 seats, with each successive row having two more seats than the previous row. The last row has 128 seats.

a. How many rows of seats does the theater have?

b. What is the total number of seats in the theater?

5. A hot air balloon rises 80ft in the first minute of flight. If during each succeeding minute, the balloon only rises 90% as far, determine

a. how far the balloon rises during the 5th minute of flight?

b. how far the balloon will rise total over the first 5 minutes?

c. how far the balloon will rise if it is allowed to rise indefinitely?

6. Patty is learning to type. On the first day she types an average of 7 words per minute without making a mistake. Each day after that she types 2 additional words per minute.

a. How many words per minute will she be able to type on the 40th day?

b. She must be able to type 35 words per minute to interview for a data-entry job. How many days must she practice typing before she can interview for the job?

Geo H Unit 14; Day 8 HW Summation Notation – You must show your work. You may check your answer on your calculator.

Find the sum.

Write the series using sigma notation. You do not have to find the sum.