Identifying and Graphing Sequences

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Presentation transcript:

Identifying and Graphing Sequences Section 4.1 Identifying and Graphing Sequences

Objective By following instructions students will be able to: Explain what a sequence is and how sequences and functions are related.

Explore 7, 9, 11, 13,… A sequence is a list of numbers in a specific order. Each element in a sequence is called a term. In a sequence, each term has a position number. In the sequence 7, 9, 11, 13,…, the second term is 9, so its position number is 2.

Explore A A) The total cost (term) of riding a go-kart for different numbers of laps (position) is shown below. Complete the table. Identify the domain of the function ƒ(n).______________________________ Identify the range of the function ƒ(n). _______________________________

Explain 1A Write the first 4 terms of the sequence defined by the explicit rule. n f(n)

Explain 1B Write the first 4 terms of the sequence defined by the explicit rule. n f(n)

Reflect #1 The number 125 is a term of the sequence defined by the explicit rule f(n)=3n+2. Which term is 125? Justify your answer. Your-Turn #1 Find the 15th term of the sequence defined by the explicit rule

A recursive rule for a sequence defines the nth term by relating it to one or more previous terms.

Explain 2A Write the first 4 terms of the sequence defined by the recursive rule. n f(n)

Explain 2B Write the first 4 terms of the sequence defined by the recursive rule. n f(n)

Reflect #2 Describe how to find the 12th term of the sequence in example 2A. Your-Turn #2 Write the first 5 terms of the sequence. for each whole number n greater than 1.

Explain 3A The go-kart racing charges $5 for a go-kart license and $2 for each lap. Use the explicit rule . n f(n)

Objective Did we… Explain what a sequence is and how sequences and functions are related?

Homework HW: Page 134 #s 1-9, 11,13-18, 21-24