IM Alg2.1.3 Practice: Different Types of Sequences

Here are the first two terms of an arithmetic sequence:
-2, 4[br]What are the next three terms of this sequence?
11, 111[br]What are the next three terms of this sequence?
5, 7.5[br]What are the next three terms of this sequence?
5, -4[br]What are the next three terms of this sequence?
For each sequence, decide whether it could be arithmetic, geometric, or neither.
200, 40, 8, . . .[br][br]
2, 4, 16, . . .[br][br]Decide whether it could be arithmetic, geometric, or neither.
10, 20, 30, . . .[br]
100, 20, 4, . . .
6, 12, 18, . . .
Complete each arithmetic sequence with its missing terms, then state the rate of change for each sequence.
A sequence starts with the terms 1 and 10.
Find the next two terms if it is arithmetic: 1, 10, ___, ___.
Find the next two terms if it is geometric: 1, 10, ___, ___.[br]
Find two possible next terms if it is neither arithmetic nor geometric: 1, 10, ___, ___.[br][br]
Complete each geometric sequence with the missing terms. Then find the growth factor for each.
The first term of a sequence is 4.
Choose a growth factor and list the next 3 terms of a geometric sequence.[br]
Choose a [i]different[/i] growth factor and list the next 3 terms of a geometric sequence.[br]
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.
Starting with the number 0, build a sequence of 5 numbers.[br]
Starting with the number 3, build a sequence of 5 numbers.[br]
Can you choose a starting point so that the first 5 numbers in your sequence are all positive? [br]Explain your reasoning.[br]
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– GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Information: IM Alg2.1.3 Practice: Different Types of Sequences