Sequences
Part I For each of the following sequences of numbers, Part III – Wait for instructions from your
discover the pattern and find the next three terms of teacher on when and how to complete this
the sequence. After each, write a complete sentence section
explaining what pattern you used to find the
next three terms
Set 1
3, 8. 13, 18, 23, 28, ___, ___, ___
Recursive_____________________________
We found the next three terms by
Explicit _______________________________
7, 3, -1, -5, ___, ___, ____
We found the next three terms by
Recursive_____________________________
Explicit _______________________________
8, 10.5, 13, 15.5 , ____, _____, ____
We found the next three terms by
Recursive_____________________________
Explicit _______________________________
-----------------------------------------------------------------------------------------------------------------------------------------Set 2
3, 6, 12, 24,___, ___, ____
Recursive_____________________________
We found the next three terms by
Explicit _______________________________
18, 9, 4.5, 2.25, ___ ,____, _____
We found the next three terms by
Recursive_____________________________
Explicit _______________________________
8, -32, 128, -512, 2048, ____, _____, _____
We found the next three terms by
Recursive_____________________________
Explicit _______________________________
------------------------------------------------------------------------------------------------------------------------------------Part II The sequences in Part 1 were in two separate sets. Discuss the differences of the sets with others
in your group. List things that are different about the two sets. Write your observations below.
Part III
The cost of going on rides at the Howard County Fair includes an entrance fee of $8 and then $3 for each
ride.
a. List the total cost of going to the fair and riding 1 ride, 2 rides, 3 rides.
b. Identify the sequence of costs of rides as arithmetic or geometric.
c. Write a formula (either recursive or explicit) for computing the cost of going to the fair and riding n
rides.
d. Find the cost of going to the fair and riding 13 rides.
---------------------------------------------------------------------------------------------------------------------------------------Jerry finds an anti-bullying post on Facebook. He likes it and decides to repost it. His friends like it and
many of them repost it too. As this continues, the number of people who have seen the post triples
each hour.
a. List the total number of people who have seen the post each hour, starting with one person, Jerry, in
the first hour.
b. Identify the sequence of number of people who have seen the post as arithmetic or geometric.
c. Write a formula (either recursive or explicit) for computing the total number of people who have seen
the post for each hour.
d. Find the number of people who have seen the post after 12 hours