Jeopardy Rules Everyone on the team must participate. In order to earn the points, all team members must have the correct answer (and supporting work).

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Presentation transcript:

Jeopardy Rules Everyone on the team must participate. In order to earn the points, all team members must have the correct answer (and supporting work). We will rotate who chooses the question, but every group can earn points on each problem. I will deduct points for talking during the discussion.

JEOPARDY!

Identify Sequences $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 FormulasArithmeticGeometric Infinite Series Applications GO TO FINAL JEOPARDY

RETURN TO JEOPARDY BOARD Identify Sequences $100 Arithmetic, Geometric or Neither? -10, -4, 2, …

RETURN TO JEOPARDY BOARD Identify Sequences $200 Arithmetic, Geometric or Neither? 0, 2, 6, 12, …

RETURN TO JEOPARDY BOARD Identify Sequences $300 Arithmetic, Geometric or Neither? 144, 120, 100, …

RETURN TO JEOPARDY BOARD Identify Sequences $400 Find the first five terms of the sequence.

RETURN TO JEOPARDY BOARD Identify Sequences $500 Find the first 5 terms of the sequence. U n+1 = 4U n – 2, U 1 = -3 Find the first 5 terms of the sequence. U n+1 = 4U n – 2, U 1 = -3

RETURN TO JEOPARDY BOARD Formulas $100 What formula would be used to write the explicit equation for the sequence? 12, 18, 27, 40.5, … What formula would be used to write the explicit equation for the sequence? 12, 18, 27, 40.5, …

RETURN TO JEOPARDY BOARD DAILY DOUBLE Formulas $200 What formula would be used to find the sum? 13, 7, 1, -5… n=15

RETURN TO JEOPARDY BOARD Formulas $300 What formula would be used to write the explicit equation for the sequence? 4.62, 7.4, 10.18, 12.96… What formula would be used to write the explicit equation for the sequence? 4.62, 7.4, 10.18, 12.96…

RETURN TO JEOPARDY BOARD Formulas $400 What formula would be used to find the sum?

RETURN TO JEOPARDY BOARD Formulas $500 What formula would be used to find the sum? 1/3, 1, 3, 9, …6561

RETURN TO JEOPARDY BOARD Arithmetic $100 Write the explicit formula for the sequence U 1 = 4, d = -7

RETURN TO JEOPARDY BOARD Arithmetic $200 Write the explicit formula for the sequence 1.5, 1.2, 0.9, 0.6, …

RETURN TO JEOPARDY BOARD DAILY DOUBLE Arithmetic $300 Write the explicit formula for the sequence U 3 = -5, U 9 = -2 (arithmetic)

RETURN TO JEOPARDY BOARD Arithmetic $400 Find the sum using the formula.

RETURN TO JEOPARDY BOARD Arithmetic $500 Find the sum. 5, 2, -1, -4, …, -184

RETURN TO JEOPARDY BOARD Geometric $100 Write the explicit rule for the sequence described. u 1 = 17, r =.45 Write the explicit rule for the sequence described. u 1 = 17, r =.45

RETURN TO JEOPARDY BOARD Geometric $200 Write the explicit formula for the sequence 6.75, 9, 12, 16…

RETURN TO JEOPARDY BOARD Geometric $300 Write the explicit formula for the sequence U 4 = 50, U 8 = 162/25

RETURN TO JEOPARDY BOARD Geometric $400 Find the sum using the formula Find the sum using the formula

RETURN TO JEOPARDY BOARD Geometric $500 Find the sum. 1/3, 1, 3, 9,…729 Find the sum. 1/3, 1, 3, 9,…729

RETURN TO JEOPARDY BOARD Infinite Series $100 Does the sequence converge or diverge? u n =10(0.65) n-1 Does the sequence converge or diverge? u n =10(0.65) n-1

RETURN TO JEOPARDY BOARD Does the sequence converge? 16.2, 27, 75, 125… Does the sequence converge? 16.2, 27, 75, 125… Infinite Series $200

RETURN TO JEOPARDY BOARD Find the sum. Infinite Series $300

RETURN TO JEOPARDY BOARD Infinite Series $400 Find the sum.

RETURN TO JEOPARDY BOARD Infinite Series $500 Find the sum.

RETURN TO JEOPARDY BOARD Applications $100 Determine the seating capacity of an auditorium with 36 rows of seats if there are 15 seats in the first row, 18 seats in the second row, 21 seats in the third row, and so on.

RETURN TO JEOPARDY BOARD Cylindrical tiles are stacked to form a triangle. There are 51 tiles on the bottom row and two fewer tiles per row. If there is only 1 tile in the top row, how many tiles are in the stack? Applications $200

RETURN TO JEOPARDY BOARD Applications $300 # years of employmentSalary 0$50,000 1$51,750 2$53, $55, $57, John’s annual salary for the first 5 years of employment are given below. Let n = # years and f(n) = salary. Write a function to model the data. John’s annual salary for the first 5 years of employment are given below. Let n = # years and f(n) = salary. Write a function to model the data.

RETURN TO JEOPARDY BOARD Applications $400 Charlotte Candies manufactures boxes of chocolates with a fixed overhead cost. They produce 100 boxes for $1050 and 300 boxes for $1450. Write a function for the production cost in terms of number of boxes.

RETURN TO JEOPARDY BOARD Applications $500 Given the function a n = 225(.47) n to model the height of the bounce of a ball that was dropped, predict the first bounce that will not be at least 3cm off the ground. Given the function a n = 225(.47) n to model the height of the bounce of a ball that was dropped, predict the first bounce that will not be at least 3cm off the ground.

FINALJEOPARDY! FINALJEOPARDYCATEGORY