2021- 10 Geometric Sequences

Is this sequence geometric?
 $2,-4,8,-16,...$ 

•  $yes,\ r=-2$ 

•  $yes,\ r=2$ 

•  $yes,\ r=\frac{1}{2}$ 

•  $yes,\ r=-\frac{1}{2}$ 

•  $no,\ there\ is\ no\ common\ ratio$  

Tags

CCSS.HSF.BF.A.2

What is the next term in the sequence?
 $2,-4,8,-16,...$ 

•  $-32$ 

•  $32$ 

•  $-34$ 

•  $-34$ 

Tags

CCSS.HSF.BF.A.2

What is the explicit formula?
 $2,-4,8,-16,...$ 

Remember:  $a_n=a_1\left(r\right)^{n-1}$ 

•  $a_n=2\left(-2\right)^{n-1}$ 

•  $a_n=2\left(2\right)^{n-1}$ 

•  $a_n=-2\left(2\right)^{n-1}$ 

•  $a_n=-2\left(-2\right)^{n-1}$ 

Tags

CCSS.HSF.BF.A.2

What is the 25th term in the sequence?
 $2,-4,8,-16,...$ 

Remember:  $a_n=a_1\left(r\right)^{n-1}$ 

•  $-33,554,432$ 

•  $33,554,432$ 

•  $-67,108,864$ 

•  $67,108,864$ 

Tags

CCSS.HSF.BF.A.2

What is the 19th term in the sequence?
 $2,-4,8,-16,...$ 

Remember:  $a_n=a_1\left(r\right)^{n-1}$ 

•  $-1,048,576$ 

•  $1,048,576$ 

•  $524,288$ 

•  $-524,288$ 

Tags

CCSS.HSF.BF.A.2