Math Investigations - IV
Sample Quiz
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Name:____________________________
1. Find the next two terms in the sequence, then label each sequence as arithmetic,
geometric, both or neither.
a.
1 7 11 5 19
, , , , , ________,
4 12 12 4 12
________
type of sequence:
b.
1 1 2 4 8
, , , , , ________,
2 3 9 27 81
________
type of sequence:
c.
1 2 6 24 120
, , , ,
, ________,
2 3 5 7 11
________
type of sequence:
2. Write a COMPLETE recursive definition for this sequence: 1, 3, 4, 7, 11, 18, 29, …
3. If the following sequence is harmonic, find the next three terms.
5
2, , ________,
2
________,
 0 1
n
4. Let A  
 and define An  A for each n.
 1 1
a. Find A1 , A2 , and A3 .
b. Find A9
c. Write a recursive formula for An