Mathematical Investigations IV
Name
MATHEMATICAL INVESTIGATIONS IV
Iteration Forever
PATTERNS, PATTERNS, PATTERNS, PATTERNS, …
Below are the first three terms in five different sequences. Analyze each sequence and then
extend it by three more terms. Write out the reasoning for the terms that you choose. Note that
many of these can be extended in more than one way. Find as many different ways as possible.
1.
a + 4, 2a + 6, 3a + 8,
2.
6, 18, 54,
3.
T, F, S,
4.
1 1 1
, ,
,
2 4 16
5.
2, 3, 5,
Seq & Ser. 1.1
Rev. S06