L3-4 Review

Last updated over 2 years ago

10 questions

1

Library

L3-4 Review

Last updated over 2 years ago

10 questions

1

Determine whether or not the following list could be the beginning of an arithmetic sequence.

12, 7, 4, 1, -4, ...

1

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 3, 5, 7, 9, ...

1

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 1, 2, 3, 5, 8, 13, ...

1

Determine whether or not the following list could be the beginning of an arithmetic sequence.

2, 3, 5, 7, 9, 11, 13, 17, 19, 23, ...

1

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{1}=17, \textrm{ and } a_{n}=a_{n-1}-\frac{1}{2} \textrm{ for all } n>1 \textrm{ in } \mathbb{N}

1

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=\frac{1}{3}+(n-1)\frac{2}{3}

1

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=-4n+2

1

Provide a recursive and an explicit definition for the following arithmetic sequence:

-3, -6, -9, -12, -15, ...

1

Provide a recursive and an explicit definition for the following arithmetic sequence:

\frac{7}{8}, -\frac{6}{8}, -\frac{19}{8}, -\frac{32}{8}, ...

1

Determine whether or not the following list could be the beginning of an arithmetic sequence.

12, 7, 4, 1, -4, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 3, 5, 7, 9, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 1, 2, 3, 5, 8, 13, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

2, 3, 5, 7, 9, 11, 13, 17, 19, 23, ...

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{1}=17, \textrm{ and } a_{n}=a_{n-1}-\frac{1}{2} \textrm{ for all } n>1 \textrm{ in } \mathbb{N}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=\frac{1}{3}+(n-1)\frac{2}{3}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=-4n+2

Provide a recursive and an explicit definition for the following arithmetic sequence:

-3, -6, -9, -12, -15, ...

Provide a recursive and an explicit definition for the following arithmetic sequence:

\frac{7}{8}, -\frac{6}{8}, -\frac{19}{8}, -\frac{32}{8}, ...

Select all and only the statements that correctly describe the difference between arithmetic sequences and linear functions.

Select all and only the statements that correctly describe the difference between arithmetic sequences and linear functions.

An arithmetic sequence has a least term number (the first term has the lowest number), but the domain of a linear function has no "least element".

Every term in a sequence has one value, but an input to a linear function may have multiple outputs.

Arithmetic sequences are discrete (there are no terms in between two terms), while linear functions are continuous (for any two inputs, there's another input that's in between them).

In an arithmetic sequence, the common difference is always the same. But the slope of a linear function is not the same everywhere.

Arithmetic sequences can be defined recursively, but linear functions cannot.

There are no other patterned sequences besides arithmetic sequences, while there are many types of functions besides linear functions.

L3-4 Review

L3-4 Review

Determine whether or not the following list could be the beginning of an arithmetic sequence.12, 7, 4, 1, -4, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.1, 3, 5, 7, 9, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.1, 1, 2, 3, 5, 8, 13, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.2, 3, 5, 7, 9, 11, 13, 17, 19, 23, ...

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:a_{1}=17, \textrm{ and } a_{n}=a_{n-1}-\frac{1}{2} \textrm{ for all } n>1 \textrm{ in } \mathbb{N}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:a_{n}=\frac{1}{3}+(n-1)\frac{2}{3}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:a_{n}=-4n+2

Provide a recursive and an explicit definition for the following arithmetic sequence:-3, -6, -9, -12, -15, ...

Provide a recursive and an explicit definition for the following arithmetic sequence:\frac{7}{8}, -\frac{6}{8}, -\frac{19}{8}, -\frac{32}{8}, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.12, 7, 4, 1, -4, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.1, 3, 5, 7, 9, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.1, 1, 2, 3, 5, 8, 13, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.2, 3, 5, 7, 9, 11, 13, 17, 19, 23, ...

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:a_{1}=17, \textrm{ and } a_{n}=a_{n-1}-\frac{1}{2} \textrm{ for all } n>1 \textrm{ in } \mathbb{N}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:a_{n}=\frac{1}{3}+(n-1)\frac{2}{3}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:a_{n}=-4n+2

Provide a recursive and an explicit definition for the following arithmetic sequence:-3, -6, -9, -12, -15, ...

Provide a recursive and an explicit definition for the following arithmetic sequence:\frac{7}{8}, -\frac{6}{8}, -\frac{19}{8}, -\frac{32}{8}, ...

Select all and only the statements that correctly describe the difference between arithmetic sequences and linear functions.

Determine whether or not the following list could be the beginning of an arithmetic sequence.

12, 7, 4, 1, -4, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 3, 5, 7, 9, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 1, 2, 3, 5, 8, 13, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

2, 3, 5, 7, 9, 11, 13, 17, 19, 23, ...

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{1}=17, \textrm{ and } a_{n}=a_{n-1}-\frac{1}{2} \textrm{ for all } n>1 \textrm{ in } \mathbb{N}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=\frac{1}{3}+(n-1)\frac{2}{3}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=-4n+2

Provide a recursive and an explicit definition for the following arithmetic sequence:

-3, -6, -9, -12, -15, ...

Provide a recursive and an explicit definition for the following arithmetic sequence:

\frac{7}{8}, -\frac{6}{8}, -\frac{19}{8}, -\frac{32}{8}, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

12, 7, 4, 1, -4, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 3, 5, 7, 9, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

1, 1, 2, 3, 5, 8, 13, ...

Determine whether or not the following list could be the beginning of an arithmetic sequence.

2, 3, 5, 7, 9, 11, 13, 17, 19, 23, ...

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{1}=17, \textrm{ and } a_{n}=a_{n-1}-\frac{1}{2} \textrm{ for all } n>1 \textrm{ in } \mathbb{N}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=\frac{1}{3}+(n-1)\frac{2}{3}

Generate the first four terms of the sequence, a_{1}, a_{2}, a_{3}, a_{4}, as defined by the following:

a_{n}=-4n+2

Provide a recursive and an explicit definition for the following arithmetic sequence:

-3, -6, -9, -12, -15, ...

Provide a recursive and an explicit definition for the following arithmetic sequence:

\frac{7}{8}, -\frac{6}{8}, -\frac{19}{8}, -\frac{32}{8}, ...