L3-4 Review

By Sam Schneider
Last updated about 1 year ago
10 Questions

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.