Geometric & Arithmetic Sequences
Consider the arithmetic sequence
87, 81, 75, 69, …
What are the next three terms?
63, 57, 51
What is the rule in a Fibonacci sequence?
Add the previous two terms
Adam scored 88 on an exam. Ted scored 78 on the same exam.
How much more did Adam score than Ted?
10 points more
Maria bought 3 times as many books as Sally. Sally bought 5 books.
How many books did Maria buy?
15 books
Beatrice has 14 bottles of water in her storage room. Each day, Beatrice uses 2 bottles of water.
How many days will the water in the storage room last for Beatrice?
7 days
Consider the arithmetic sequence
24, 33, 42, 51…
What are the next three terms?
60, 69, 78
Consider the Fibonacci-like sequence
3, 3, 6, 9, 15, 24, …
What is the next term?
39
A set consists of 12 blue and 15 red pencils.
How many total pencils are in the set?
27 pencils
Emma is making a necklace using yellow and blue beads. She used 51 yellow beads, which is 22 more than the number of blue beads.
How many blue beads did Emma use?
29 blue beads
Olivia read 25 pages from a book. Ella read 12 more pages than Olivia.
How many pages did Ella read?
37 pages
Consider the geometric sequence
32, 16, 8, …
What is the next term?
4
Complete the following number pattern.
9, 1, 3, 4, 9, 1, 3, 4, 9, _, _, _
1, 3, 4
Complete the table using the rule: divide by 2 and then subtract 5.
Input Output
12 1
14 _
16 _
Input Output
12 1
14 2
16 3
What is the rule in this input-output table?
Input Output
2 12
3 18
4 24
5 30
Multiply by 6
Lamont has 220 stamps, 20 of which are foreign. The rest are non-foreign.
How many non-foreign stamps does Lamont have?
200
Consider the geometric sequence
3, 15, 75, …
What is the next term?
375