Arithmetic Sequence Equation to Linear Equation

Select the explicit rule that represents the sequence.

• 11 - 68(n - 1)
• 68 - 9(n - 1)
• 68 - 11(n - 1)
• 9 + 68(n - 1)

Tags

CCSS.HSF.BF.A.2

Write the given explicit rule in function notation.

6 + 5(n - 1)

• f(n) = 5n + 1

• f(n) = 5n + 11

• f(n) = 11n - 1

• f(n) = 11n - 5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Identify a common characteristic between an explicit rule and a linear function.

• Both have the same domain.

• Both are discrete graphs.

• Both have the same rate of change.

• Both have the same y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the domain for any given sequence?

• all integers

• all real numbers

• all positive integers

• all whole numbers

In a given explicit rule, which term represents the slope in a linear function?

• the first term

• the common difference

• the n^th term

• the n^th value

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which function family do arithmetic sequences belong with?

• exponential

• linear

• quadratic

• absolute value

What is the rule (explicit equation) written in function notation for the n^th term given

60, 55, 50, 45, ...

• f(n) = -5n + 60

• f(n) = -5n + 65

• f(n) = 5n - 60

• f(n) = 5n + 65