For each sequence, decide whether it could be arithmetic, geometric, or neither.

1. 200, 40, 8, . . .
2. 2, 4, 16, . . .
3. 10, 20, 30, . . .
4. 100, 20, 4, . . .
5. 6, 12, 18, . . .

Complete each arithmetic sequence with its missing terms, then state the rate of change for each sequence.

1. -3, -2, , , 1
2. , 13, 25, ,
3. 1, .25, , -1.25,
4. 92, , , , 80

A sequence starts with the terms 1 and 10.

1. Find the next two terms if it is arithmetic: 1, 10, , .
2. Find the next two terms if it is geometric: 1, 10, , .
3. Find two possible next terms if it is neither arithmetic nor geometric: 1, 10, , .

Complete each geometric sequence with the missing terms. Then find the growth factor for each.

1. , 5, 25, , 625
2. -1, , -36, 216,
3. 10, 5, , , 0.625
4. , , 36, -108,
5. , 12, 18, 27,

The first term of a sequence is 4.

1. Choose a growth factor, and list the next 3 terms of a geometric sequence.
2. Choose a different growth factor, and list the next 3 terms of a geometric sequence.

Here is a rule that can be used to build a sequence of numbers once a starting number is chosen: Each number is two times three less than the previous number. 

1. Starting with the number 0, build a sequence of 5 numbers.
2. Starting with the number 3, build a sequence of 5 numbers.
3. Can you choose a starting point so that the first 5 numbers in your sequence are all positive? Explain your reasoning.