IM1: Unit 2 Review (Final)

Front

Find f(12078) using the following explicit rule: f(n) = 2 - 5(n-1)

Back

f(12078) = 2 - 5(12078-1) = 2 - 5(12077) = 2 - 60385 = -60388

Front

Write the explicit rule for the following sequence: -3, -6, -9, ...

Back

f(n) = -3 - 3(n-1) (This is an arithmetic sequence with a common difference of -3.)

Front

Write the explicit rule for the following sequence: 8, 10, 12, 14, ...

Back

f(n) = 8 + 2(n-1) (This is an arithmetic sequence with a common difference of 2.)

Front

Is the relation {(5, 4), (1, 4), (3, -2), (1, 8)} a function?

Back

No, because the input 1 is associated with two different outputs (4 and 8).

Front

What is the range of the relation {(2, 4), (1, 4), (5, 4), (3, 2), (4, 4)}?

Back

The range is {2, 4} (These are the unique output values from the relation.)

Front

Define an explicit rule in mathematics.

Back

An explicit rule is a formula that defines the nth term of a sequence directly in terms of n.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

Front

Write the explicit rule for the sequence: 1, 4, 7, 10, ...

Back

f(n) = 1 + 3(n-1) (This is an arithmetic sequence with a common difference of 3.)