Arithmetic & Geometric Sequences Remediation/Practice

In the recursive formula a_n = a_n−1 + 5, the value of the previous term is represented by

• a_n

• 
  a₅

• a_n+5

• 
  a_n−1

• a_n−5

Tags

CCSS.HSF.IF.A.3

Which recursive formula is represented by the sequence shown?

15, 215, 415, 615

• a_n = a_{n - 1} + 15

• a_n = a_{n - 1} - 15

• a_n = a_{n - 1} + 200

• a_n = a_{n - 1} - 200

Tags

CCSS.HSF.IF.A.3

Which function describes the arithmetic sequence shown? (Hint: use the explicit formula)

3, 7, 11, 15, 19, 23, ...

• 
  ƒ(x) = 4x − 4

• ƒ(x) = 4x − 3

• ƒ(x) = 4x − 2

• ƒ(x) = 4x − 1

Tags

CCSS.HSF.BF.A.2

Which function describes the arithmetic sequence shown?
−4, 0, 4, 8, 12, 16, ...

• ƒ(x) = 4x + 8

• ƒ(x) = 4x − 8

• 
  ƒ(x) = −4x + 8

• ƒ(x) = −4x − 8

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which function describes the arithmetic sequence shown?

3, 1, −1, −3, −5, −7, ...

• 
  ƒ(x) = 2x + 5

• 
  ƒ(x) = 2x − 5

• 
  ƒ(x) = −2x + 5

• ƒ(x) = −2x − 5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which TWO identify the same sequence?

• 
  f(x) = 6x + 4 for x = {1, 2, 3, ...}

• 
  f(x) = 10x + 4 for x = {1, 2, 3, ...}

• a₁ = 6 and a_{n + 1} = a_n + 4 for n = {1, 2, 3, ...}

• 
  a₁ = 10 and a_{n + 1} = a_n + 4 for n = {1, 2, 3, ...}

• a₁ = 10 and a_{n + 1} = a_n + 6 for n = {1, 2, 3, ...}

Tags

CCSS.HSF.IF.A.3

Which expression represents the number of equal slices for the nth member of the pattern?

• n + 3

• 
  n² + 3

• 
  8(n - 1)

Tags

CCSS.HSF.BF.A.2

A cell-phone company has noticed that the probability of a customer experiencing a dropped call decreases as the customer approaches a cell-site base station. A company representative approached a cell site at a constant speed and calculated the probability of a dropped call at regular intervals, and the probabilities formed the geometric sequence 0.8, 0.4, 0.2, 0.1, 0.05. If the company representative continues calculating the probability of a dropped call, what will be the next term in the sequence?

• 0.025

• 
  0.005

• 0.010

• 0.0005

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

64, 32, 16, 8, ...

Tags

CCSS.HSF.BF.A.2

• 361

• 512

• 1,024

• 4,096

• 262,144

Tags

CCSS.HSF.BF.A.2