Arithmetic Geometric Explicit Formula

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

• Arithmetic

• Geometric

• Recursive

• Explicit

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

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

• 9

• 15

• 13

• 14

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

• True

• False

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

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

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

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

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

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