Arithmetic Geometric Explicit Formula

The sequence 3, 6, 9, 12... is:

• Arithmetic

• Geometric

• Recursive

• Explicit

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CCSS.HSF.BF.A.2

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

Tags

CCSS.HSF.BF.A.2

In a sequence the first term is 7 and the common difference is 2. The fifth term is:

• 9

• 15

• 13

• 14

Tags

CCSS.HSF.BF.A.2

The explicit formula is used to find a specific term in a sequence.

• True

• False

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CCSS.HSF.BF.A.2

Write the explicit formula (u_n) for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1

• a_n = 100(2)^n-1

• a_n = 100(1/2)^n-1

• a_n = (1/2)(100)^n-1

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

The town of Ardmore is studying its decreasing population. In the 1st year of the study, the population was 3,045 people. 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