Arithmetic and Geometric sequences

Which of the following represent the sequence

3,7,11,15,19.......

• $a_n=3+4n$

• $a_n=3n+4$

• $a_n=4n-1$

• $a_n=n+3$

• $a_n=n+4$

Tags

CCSS.HSF.BF.A.2

Which of the following represent the sequence

 $3,\frac{3}{2},\frac{3}{4},\frac{3}{8},\frac{3}{16},...$  

•  $a_n=\frac{3}{2}\left(n\right)^2$ 

•  $a_n=3\left(2\right)^{n-1}$ 

•  $a_n=3\left(\frac{1}{2}\right)^n$ 

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

•  $a_n=3\left(2\right)^n$  

Tags

CCSS.HSF-LE.A.1A

Which of the following represent the sequence

 $\frac{1}{2},-1,2,-4,8.....$  

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

•  $a_n=\left(2\right)^{n-1}$ 

•  $a_n=\left(-\frac{1}{2}\right)^n$ 

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

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

Tags

CCSS.HSF.BF.A.2

Which of the following represent the sequence

 $3,\frac{3}{2},0,\frac{-3}{2},-3,...$  

•  $a_n=-\frac{3}{2}n+\frac{9}{2}$ 

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

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

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

•  $a_n=-\frac{3}{2}n+3$  

Tags

CCSS.HSF.LE.A.2

Select each of the equations that represent the sequence

8,14,20,26,32,28....

• $a_n=6n+8$

• $a_n=6n+2$

• $a_n=6\left(n-1\right)+8$

• $a_1=8;\ a_n=a_{n+1}+6$

• $a_1=8;\ a_{n+1}=a_n+6$

Tags

CCSS.HSF.BF.A.2

Select each of the equations that represent the sequence

7,10,13,16,19....

•  $a_1=7;\ a_n=a_{n+1}+3$ 

•  $a_1=7;\ a_{n+1}=a_n+3$ 

•  $a_1=3;\ a_n=a_{n-1}+7$ 

•  $a_1=7;\ a_n=a_{n-1}+3$ 

•  $a_1=7;\ a_{n-1}=a_n+3$ 

Tags

CCSS.HSF.IF.A.3

Which of the following represent the sequence

18,11,4,-3,-10...

•  $a_n=-7n+11$ 

•  $a_n=-7n+25$ 

•  $a_n=7n+11$ 

•  $a_n=7n+25$ 

•  $a_n=-7\left(n-1\right)+11$ 

Tags

CCSS.HSF.BF.A.2

In an arithmetic sequence $a_1=5$  and  $a_{11}=60$ 

What is the common difference?

(a)  

Tags

CCSS.HSF.BF.A.2

In an arithmetic sequence $a_2=12$  and  $a_6=-24$ 

What is the common difference?

(a)  

Tags

CCSS.HSF.BF.A.2

In a geometric sequence $a_2=-4$  and  $a_5=32$ 

What is the common ratio?

(a)  

Tags

CCSS.HSF.BF.A.2