Sequences (Geometric & Arithmetic) Review 1

Which explicit formula is represented by the graph?

• $a_n=-2+3\left(n-1\right)$

• $a_n=3-2\left(n-1\right)$

• $a_n=2+3\left(n-1\right)$

• $a_n=-3+2\left(n-1\right)$

Tags

CCSS.HSF.BF.A.2

Determine if the sequence

0.2, 1, 5, 25, . . .

is arithmetic or geometric.

Then identify the next term in the sequence.

• arithmetic; 75

• arithmetic; 125

• geometric; 75

• geometric; 125

Tags

CCSS.HSF.BF.A.2

What is the 10th term of the arithmetic sequence defined by the formula

• 3

• 4

• $4\frac{1}{3}$

• 12

Tags

CCSS.HSF.BF.A.2

What is the common ratio of the sequence

6, 23, 1.5, 20.75....?

• $-2$

• $-0.5$

• $0.5$

• $2$

Tags

CCSS.HSF.BF.A.2

Which represents the recursive formula for the arithmetic sequence

• 
• 
• 
• 

Tags

CCSS.HSF.IF.A.3

Determine if the sequence

-184, -207, -230, -253, . . .

is arithmetic or geometric.

Then identify the next term in the sequence.

• arithmetic; -23

• arithmetic; -276

• geometric; -23

• geometric; -276

Tags

CCSS.HSF.BF.A.2

Which explicit formula is represented by the graph?

• $a_n=1^{n-1}$

• $a_n=\left(-1\right)^{n-1}$

• $a_n=2^{n-1}$

• $a_n=\left(-2\right)^{n-1}$

Tags

CCSS.HSF.LE.A.2

What is the next term in the sequence

1.35, 4.49, 7.63, 10.77, 13.91, . . .?

• 20.19

• 17.05

• 3.14

• $-1.79$

Tags

CCSS.HSF.BF.A.2

Brittany is a scientist. She is recording the number of cells in a dish. After each hour, the cell divides into four cells. The sequence shown represents the growth of the cells.

1, 4, 16, 64, 256, . . .

Which explicit formula represents this situation?

• $a_n=4^{n-1}$

• $a_n=4\cdot1^{n-1}$

• $a_n=-4^{n-1}$

• $a_n=-4\cdot1^{n-1}$

Tags

CCSS.HSF.BF.A.2

Raymond is filling his kitchen sink to wash dishes. After one minute, there are 2.75 gallons of water in the sink. After two minutes, there are 5.5 gallons of water in the sink. After three minutes, there are 8.25 gallons of water in the sink. If this pattern continues, how many gallons of water will be in the sink after five minutes?

• 2.75

• 11

• 13.75

• 16.5

Tags

CCSS.4.OA.C.5