Sequence and Function Analysis

Find an equation that gives the nth term of the sequence {-2, -8, -32, -128, ...}. Instead of the initial value use the kth term of the sequence in your equation. k = 1.

• a_n = -2^n

• a_n = -2^{n+1}

• a_n = -2^{n-1}

• a_n = -2^{n-2}

Tags

CCSS.HSF.BF.A.2

Find an equation that gives the nth term of the sequence {325, 225, 125, 25, ...}. Instead of the initial value use the kth term of the sequence in your equation. k = 4.

• a) a_n = 325 - 100(n-1)

• b) a_n = 25 - 100(n-4)

• c) a_n = 125 - 100(n-3)

• d) a_n = 325 - 100n

Tags

CCSS.HSF.BF.A.2

A function has the following coordinate points: (4, 6), (5, 10), (6, 18). Determine whether the function could be a linear function, an exponential function, or neither.

• Linear function

• Exponential function

• Neither

A function passes through the points (1, 3), (2, 12), and (3, 48). Determine if this function could be linear, exponential, or neither.

• Linear

• Exponential

• Neither

A function has the following coordinate points: (16, -5), (17, -1), (18, 3). Could the function represent a linear function, exponential function, or neither?

• Linear function

• Exponential function

• Neither

It is known that f(x) is a linear function and that it passes through the given points (1, 2) and (3, 4). What is the equation for this function?

• f(x) = x + 1

• f(x) = 2x - 1

• f(x) = x - 1

• f(x) = 2x + 1

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• 160

• 320

• 640

• 1280

Tags

CCSS.HSF.BF.A.2

Find an equation that gives the nth term of the sequence {10, 20, 40, 80, ...}. Instead of the initial value use the kth term of the sequence in your equation. k = 2.

• c) a_n = 40 * 2^{n-3}

• a) a_n = 10 * 2^{n-1}

• b) a_n = 20 * 2^{n-2}

• d) a_n = 80 * 2^{n-4}

Tags

CCSS.HSF.BF.A.2

• 56

• 35

• 42

• 49

Tags

CCSS.HSF.BF.A.2

A function passes through the points (2, 5), (3, 15), and (4, 45). Determine if this function could be linear, exponential, or neither.

• Linear

• Exponential

• Neither