Geometric and Arithmetic Sequences

Is the following sequence geometric or arithmetic?

13, 45.5, 159.25, . . .

• Geometric

• Arithmetic

Tags

CCSS.HSF.BF.A.2

Is the following sequence geometric or arithmetic?

52.5, 31.5, 18.9, 11.34, . . .

• Geometric

• Arithmetic

Tags

CCSS.HSF.BF.A.2

Is the following sequence geometric or arithmetic?

13, 18, 23, 28, . . .

• Geometric

• Arithmetic

Tags

CCSS.HSF.BF.A.2

Is the following sequence geometric or arithmetic?

52.5, 37.5, 22.5, 7.5, . . .

• Geometric

• Arithmetic

Tags

CCSS.HSF.BF.A.2

What is the common difference for the arithmetic sequence below:

5, 10, 15, 20, 25, 30, . . .

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.A.2

What are the next three terms in the arithmetic sequence below:

1, 8, 15, , ,

Answer explanation

To Find the common difference subtract 8-1 and you get the common difference of 7, so you add 7 to each term to get the next and you get 15+7=22, 22+7=29, 29+7=36 so the next 3 in the sequence are:

22, 29, and 36

Tags

CCSS.HSF.BF.A.2

Match the following geometric sequences with their common ratios:

• 2

• 144, 36, 9, 2.25, . . .

• 0.25

• 3, 6, 12, 24, 48, . . .

• 4

• 2, 8, 32, 128, . . .

Tags

CCSS.HSF.BF.A.2

Tags

CCSS.HSF.BF.A.2

Tags

CCSS.HSF.BF.A.2

The town of Ardmore is studying its decreasing population. In the 1st year of the study, the population was 3,045 people. In the 5th year of the study, the population had decreased by a factor of 0.87. 

  

If the population of Ardmore continues to decrease in this way, what will be the explicit formula for the geometric sequence that represents Ardmore's population for the years during the study? 

The first term = ​ ​ (a)  

The common ratio = ​ (b)  

The explicit formula = ​ ​ (c)  

• 3045
• 0.87
• 1
• 5

Tags

CCSS.HSF.BF.A.2