IM Alg2.1.3 Practice: Different Types of Sequences
Here are the first two terms of an arithmetic sequence:
-2, 4 What are the next three terms of this sequence?
11, 111 What are the next three terms of this sequence?
5, 7.5 What are the next three terms of this sequence?
5, -4 What are the next three terms of this sequence?
For each sequence, decide whether it could be arithmetic, geometric, or neither.
200, 40, 8, . . .
2, 4, 16, . . . Decide whether it could be arithmetic, geometric, or neither.
10, 20, 30, . . .
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, ___, ___.
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.
The first term of a sequence is 4.
Choose a growth factor and list the next 3 terms of a geometric sequence.
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.
Starting with the number 0, build a sequence of 5 numbers.
Starting with the number 3, build a sequence of 5 numbers.
Can you choose a starting point so that the first 5 numbers in your sequence are all positive? Explain your reasoning.