# Linear sequences

##### Intros
###### Lessons
1. Linear Sequences Overview:
2. Common Difference
3. Finding the next few terms
4. $n$th term
5. Classifying unknown terms
##### Examples
###### Lessons
1. Using the formula to find the sequences
You are given that the nth term of a sequence is
2n - 1

Write the first 4 terms of the sequence.
1. Finding the common difference, first few terms, and nth term
Consider the linear sequence:
2, 5, 8, 11, 14, ...
1. Find the common difference.
2. Find the next 4 terms.
3. Find the nth term.
2. Consider the linear sequence:
10, 8, 6, 4, 2, ...
1. Find the common difference.
2. Find the next 4 terms.
3. Find the nth term.
3. Using the nth term formula and classifying unknown terms
Consider the linear sequence:
1, 6, 11, 16, 21, ...

1. Find the nth term.
2. Find the 100th term.
3. Is 106 a term in the sequence?
4. Is 245 a term in the sequence?
4. Consider the linear sequence:
11, 7, 3, -1, -5, ...

1. Find the nth term.
2. Find the 15th term.
3. Is -103 a term in the sequence?
4. Is -205 a term in the sequence?