Recognize and extend Arithmetic sequences

Recognize and extend Arithmetic sequences

Lesson 34

Multiple Choice

A value whose quantity does not change is called a________.

• constant

• coefficient

• variable

Fill in the Blanks

Simplify  $7.2-5.8-\left(-15\right)$  

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Simplify $-0.12-\left(-43.7\right)-73.5$  

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Simplify:  $6\left(-2.5\right)$  

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Simplify: 

 $\left(-15\right)\left(-4.2\right)$  

Multiple Select

Determine if the sequence is an arithmetic sequence. If so, find the common difference. 

 $7,6,5,4...$  

• Yes

• No

• 1

• -1

• 3

Multiple Select

Determine if the sequence is arithmetic. If yes, choose the common difference. 

 $10,12,15,19,...$  

• Yes

• No

• 2

• 3

• 4

Fill in the Blanks

Use a recursive formula to find the first four terms of an arithmetic sequence where  $a_1=-3$  and the common difference is  $d=4$  

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Use the rule  $a_n=14+\left(n-1\right)\left(-3\right)$  to find the 4th and 11th terms of an arithmetic sequence. 

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What is the tenth term of the sequence 1, 10, 19, 28, ...?

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Find the 11th term of the sequence  $\frac{2}{3},\ 1,\ 1\frac{1}{3},\ 1\frac{2}{3},\ ...$