Lesson 8 What Does It Mean? Solidify Understanding
1.
Use the Venn diagram to compare and contrast arithmetic and geometric sequences.
For each representation in problems 2 and 3, select all items that connect to it.
A: | B: Each day Alex is borrowing | C: |
D: | E: | F: |
2.
Connected items:
3.
Jose is studying the growth of the economy, and he believes that the rate of growth will be
Connected items:
Each of the tables given represents an arithmetic sequence. Find the missing terms in the sequence, show your method, and create the explicit and recursive equations.
4.
a.
Table 1
b.
Explicit:
c.
Recursive:
5.
a.
Table 2
b.
Explicit:
c.
Recursive:
6.
a.
Table 3
b.
Explicit:
c.
Recursive:
7.
a.
Table 4
b.
Explicit:
c.
Recursive:
Identify the type of sequence and then determine the recursive and explicit equations for each sequence. (If the sequence is not arithmetic or geometric, identify it as neither and don’t write the equations.)
8.
a.
Arithmetic, geometric, or neither?
b.
Recursive equation:
c.
Explicit equation:
9.
a.
Arithmetic, geometric, or neither?
b.
Recursive equation:
c.
Explicit equation:
10.
a.
Arithmetic, geometric, or neither?
b.
Recursive equation:
c.
Explicit equation:
11.
(The number of black tiles is the sequence.)
a.
Arithmetic, geometric, or neither?
b.
Recursive equation:
c.
Explicit equation:
12.
a.
Arithmetic, geometric, or neither?
b.
Recursive equation:
c.
Explicit equation: