Geometric Sequences Exit Ticket

All sequences can be written in recursive or explicit form.

• true

• false

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CCSS.HSF.BF.A.2

What does a₁ represent?

• Any term

• First term

• Last term

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CCSS.HSF.BF.A.2

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r

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CCSS.HSF.BF.A.2

The EXPLICIT formula for a

GEOMETRIC SEQUENCE is

•  $a_n=a_1+d$  

•  $a_n=a_1+\left(n-1\right)d$  

•  $a_n=a_1\cdot\left(n-1\right)d$  

•  $a_n=a\cdot r^{\left(n-1\right)}$  

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CCSS.HSF.BF.A.2

Write the explicit form for the following sequence. {3, 4.5, 6.75, 10.125, . . .}

• $a_n=3+\frac{\frac{3}{2}\left(n-1\right)}{ }$

• $a_n=3\left(\frac{3}{2}\right)^{\left(n-1\right)}$

• $a_{\left(n+1\right)}=3+\frac{3}{2}$

• $a_{\left(n+1\right)}=3\left(\frac{3}{2}\right)^{ }$

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CCSS.HSF.LE.A.2

What is a₅ in the sequence defined as follows?

a_n = 5 ⋅ 2^(n-1)

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

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CCSS.HSF.BF.A.2

Given the following information find the common ratio. 

 $a_3=56\ and\ a_5=224$  

(a)  

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CCSS.HSF.BF.A.2

Given the following information, what is the common ratio?

 $a_8=-4374\ \ \ and\ \ \ \ a_4=-54$  

(a)  

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CCSS.HSF.BF.A.2