Algebra 2 Unit 1 Lesson 1-7 review

Here is the recursive definition of a sequence: f(1) = 10, f(n) = f(n - 1) - 1.5 for n ≥ 2. This sequence is:

• arithmetic

• geometric

• neither arithmetic nor geometric

• quadratic

Tags

CCSS.HSF.IF.A.3

What are the values of the first five terms of the sequence defined by f(1) = 10, f(n) = f(n - 1) - 1.5 for n ≥ 2?

• 10, 8.5, 7, 5.5, 4

• 10, 8.5, 7, 5.5, 4

• 10, 9, 8, 7, 6

• 10, 8.5, 7, 5.5, 3.5

Tags

CCSS.HSF.BF.A.2

Which of the following is a correct recursive definition for the arithmetic sequence k that starts 12, 6, ...?

• k(1) = 12,

  k(n) = k(n-1) + 6 for n > 2

• k(1) = 12,

  k(n) = k(n-1) * 2 for n > 2

  • * is multiplication

• k(1) = 12,

  k(n) = k(n-1) * 1/2 for n > 2

  • * is multiplication

• k(1) = 12,

  k(n) = k(n-1) - 6 for n > 2

Tags

CCSS.HSF.IF.A.3

Which of the following lists shows the first five terms of the arithmetic sequence k that starts 12, 6, ...?

• 12, 6, 0, -6, -12

• 12, 6, 3, 0, -3

• 12, 8, 4, 0, -4

• 12, 6, 2, -2, -6

Tags

CCSS.HSF.BF.A.2

Which of the following lists shows the first five terms of the geometric sequence k that starts 12, 6, ...?

• 12, 6, 0, -6, -12

• 12, 6, 3, 1.5, 0.75

• 12, 8, 4, 0, -4

• 12, 6, 2, -2, -6

Tags

CCSS.HSF.BF.A.2

An arithmetic sequence a begins 11, 7, ... a. Which of the following is a recursive definition for this sequence using function notation?

• a(1) = 7,

  a(n) = a(n-1) - 4 for n > 2

• a(1) = 11,

  a(n) = a(n-1) - 2 for n > 2

• a(1) = 11,

  a(n) = a(n-1) - 4 for n > 2

• a(1) = 11,

  a(n) = a(n-1) + 4 for n > 2

Tags

CCSS.HSF.IF.A.3

Which of the following graphs correctly represents the first 5 terms of the arithmetic sequence that begins 11, 7, ...?

• A line with points at (1,11), (2,7), (3,3), (4,-1), (5,-5)

• A line with points at (1,11), (2,8), (3,5), (4,2), (5,-1)

• A line with points at (1,11), (2,7), (3,5), (4,3), (5,1)

• A line with points at (1,11), (2,7), (3,1), (4,-3), (5,-7)

Tags

CCSS.HSF.BF.A.2

To use the recursive definition to find a(100) in the arithmetic sequence 11, 7, ..., you should:

• Use the first term and repeatedly apply the common difference until the 100th term is reached.

• Multiply the first term by 100.

• Add 100 to the first term.

• Divide the first term by 100.

Tags

CCSS.HSF.BF.A.2

A geometric sequence g starts 80, 40, ... a. Which of the following is a recursive definition for this sequence using function notation?

• g(1) = 80, g(n) = g(n-1) - 40 for n > 2

• g(1) = 80,

  g(n) = g(n-1) + 40

  for n > 2

• g(1) = 40,

  g(n) = g(n-1) * 2

  for n > 2

• g(1) = 80,

  g(n) = g(n-1) * (1/2)

  for n > 2

Tags

CCSS.HSF.IF.A.3

What are the first 6 terms of the geometric sequence g that starts 80, 40, ... b?

• 80, 40, 30, 20, 10, 5

• 80, 40, 20, 10, 5, 2.5

• 80, 40, 20, 15, 10, 5

• 80, 40, 20, 5, 2.5, 1.25

Tags

CCSS.HSF.BF.A.2