Arithmetic Sequences

-7, -13, -19, -25,...

-10, -6, -2, 2,..

6, 8, 10, 12,...

3, 15, 75, 375,...

12, 18, 24, 30,...

10, 3, -4, -11,...

2, 4, 8, 16,...

16, 20, 24, 28,...

$$a_1\ =\ 3,\ \ \ d\ =\ 4$$    

  $$a_1\ =\ 16,\ \ \ d\ =\ 3$$  

  $$a_1\ =\ 4,\ \ \ d\ =\ 3$$  

  $$a_1\ =\ 16,\ \ \ d\ =\ 13$$  

$$a_n\ =\ 4\ +\ \left(n\ -\ 1\right)\left(3\right)$$  

$$a_n\ =\ 3\ +\ \left(n\ -\ 1\right)\left(4\right)$$  

$$a_n\ =\ 7\ +\ \left(n\ -\ 1\right)\left(3\right)$$  

$$a_n\ =\ 16\ +\ \left(n\ -\ 1\right)\left(4\right)$$  

$$a_n\ =\ 21\ +\left(n\ -\ 1\right)\left(2\right)$$  

$$a_n\ =\ -21\ +\left(n\ -\ 1\right)\left(2\right)$$  

$$a_n\ =\ -21\ +\left(n\ -\ 1\right)\left(-2\right)$$  

$$a_n\ =\ 21\ +\left(n\ -\ 1\right)\left(-2\right)$$  

$$a_n\ =\ 5\ +\ \left(n\ -1\right)\left(-12\right)$$  

$$a_n\ =\ -12\ +\ \left(n\ -1\right)\left(5\right)$$  

$$a_n\ =\ -5\ +\ \left(n\ -1\right)\left(12\right)$$  

$$a_n\ =\ 12\ +\ \left(n\ -1\right)\left(-5\right)$$  

The sequence starts going in reverse order

The sequence ends

The sequence goes on forever

The sequence increases by one from here on

2, 5, 8, 11, 14, ...

3, 1, -1, -3, -5, ...

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

3, 5, 7, 9, 11, ...

a_n = 6n + 2

a_n = 6n - 6

a_n = 6n - 4

a_n = -6n + 4

True, because having a common difference also means it has a constant rate of change

False, because it's not shown on a graph