sequences

What are the next three terms in the sequence 2, 9, 16, 23, 30, . . . ?

• 37, 43, 50

• 37, 44, 51

• 37, 43, 50

• 37, 44, 50

Tags

CCSS.HSF.BF.A.2

What is the next term in the sequence  $4,\ 4\frac{1}{4},\ 4\frac{1}{2},\ 4\frac{3}{4},\ ...$ ?

•  $4\frac{4}{4}$  

• 5

•  $5\frac{1}{4}$  

•  $5\frac{1}{2}$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What is the next term of the sequence 4, -12, 36, -108, …?

• 300

• -324

• 324

• -325

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

What is the common difference in the arithmetic sequence 16,23,30,....?

• 4

• -4

• 7

• -7

What is the 10th term of an arithmetic sequence 15,9,3,-6....?

• -32

• -38

• -39

• -40

Determine if the sequence 5, 3.5, 0.5, -1 is arithmetic or geometric. Then, identify d or r.

• arithmetic; -1.5

• arithmetic; -2.5

• geometric; 1.5

• geometric; 1.5

Tags

CCSS.HSF.BF.A.2

A petri dish is filled with 1 bacterial culture. The number of bacteria in the dish triples every hour. The sequence shown represents the situation.  Which explicit formula represents this situation?

 $1,\ 3,\ 9,\ 27,\ 81$  

•  $g_n=3^{\left(n-1\right)}$  

•  $g_n=3\cdot1^{\left(n-1\right)}$  

•  $g_n=-3^{\left(n-1\right)}$  

•  $g_n=-3\cdot1^{\left(n-1\right)}$  

Tags

CCSS.HSF.BF.A.2

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSF.BF.A.2

What is the 10th term in the sequence 5,10,15,...?

• 5000

• 500

• 50

• 5