Study the patterns below to determine the next five numbers in each sequence. You may use the calculator to check your answers. 1. 2, 4, 6, 8, 10... 2.

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Study the patterns below to determine the next five numbers in each sequence. You may use the calculator to check your answers. 1. 2, 4, 6, 8, , 10, 15, 20, , 6, 9, 12, 15… 4. 10, 20, 30, 40, 50… 5. 11, 22, 33, 44, 55… 12, 14, 16, 18, 20 30, 35, 40, 45, 50 18, 21, 24, 27, 30 60, 70, 80, 90, , 77, 88, 99, 110

 To determine if data represents a function and if it is a function to find the function rule of that data.

Take out a clean sheet of paper to answer questions from the slideshow. You WILL be turning this in. There are 6 MC and 2 Short answer questions.

Sequence Independent Variable Dependent Variable Domain Range

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule. Independent Variable: Dependent Variable Domain Range

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule. Independent Variable: represents the input Dependent Variable: Domain Range

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule. Independent Variable: represents the input Dependent Variable: represents the output Domain: Range

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule. Independent Variable: represents the input Dependent Variable: represents the output Domain: the set of all inputs or x-values. Range:

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule. Independent Variable: represents the input Dependent Variable: represents the output Domain: the set of all inputs or x-values. Range: the set of all outputs or y-values.

How to write an equation in Now-Next Form. 1. Note the Start number. 2. Decide how the pattern is changing. 3. Write the equation. 3, 7, 11, 15, 19, … 1. Start at 3 2. Adding 4 3. Next = Now + 4; Start at 3 Follow along on the handout…

5, 10, 15, 20… 1. Note the Start number. 2. Decide how the pattern is changing. 3. Write the equation. 1. Start at 5 2. Adding 5 3. Next = Now + 5; Start at 5

2, 4, 8, 16, 32… 1. Note the Start number. 2. Decide how the pattern is changing. 3. Write the equation. NEXT= NOW ● 2; Start at 2

NEXT= NOW ● –2; Start= Note the Start number. 2. Decide how the pattern is changing. 3. Write the equation.

NEXT=NOW – 6 ; Start= 52

n = 1 P = 3 n = 2 P = 4 n = 3 P = 5 n = 4 P = 6 NEXT = NOW + 1; Start= 3 1. Note the Start number. 2. Decide how the pattern is changing. 3. Write the equation.

Calculators can quickly iterate functions. Start by entering your initial value, then take advantage of the ANS key to create a function to iterate simply by pressing ENTER repeatedly. For example, to iterate NEXT = 5  NOW + 10, starting at an initial value of 1: Hit 1, ENTER. Hit 5Ans+10 and then hit ENTER repeatedly. Interpret the calculator: initial value is 1; the next is 15, and so on is the fourth iteration.

CW1: Now Next Recursive WS CW2: Recursive Patterns I HW WS CW3: 3 problems on document camera HW: NONE