Name that Sequence! (definitions & concepts)
What is an arithmetic sequence?
A sequence that uses addition/subtraction of a common value to create the next term in the sequence.
*key word: common difference
Arithmetic, Geometric, or Neither?
1, 2, 4, 8, 16, 32, 64, 128, ...
Geometric
-3, 1, 5, 9, ___, 17, ...
13
How many siblings does Mr. Robertson have?
2
Solve for y in 2y + 5 = - 3y - 10.
y = -3
What is a geometric sequence?
A sequence that uses multiplication/division of a common value to create the next term in the sequence.
*key word: common ratio
Arithmetic, Geometric, or Neither?
1, 4, 9, 16, 25, ...
Neither
5, 30, 180, ____ ...
1080
Mr. Robertson is currently attending this university to obtain his masters degree:
SUNY Cortland
Solve for x in 3x + 2≤ - x - 2.
x ≤ -1
What does f(1) represent?
the first term of a sequence
Arithmetic, Geometric, or Neither?
-6, -3, 0, 3, 6
Arithmetic
3, 11, ___ 27, 35 ...
19
What was Mr. Robertson's very first job?
Deckhand on a ferry
Simplify 5x2y(- 3x - 2xy + x2y)
-15x3y-10x3y2+5x4y2
Looking at the explicit formula below for a geometric sequence, what is the ratio?
f(n)=2*3^(n-1)
r = 3
DAILY DOUBLE!
Arithmetic, Geometric, or Neither?
If the sequence is arithmetic or geometric, identify d or r.
3, 6, 12, 24, 40, 80 ...
NEITHER!
DAILY DOUBLE
___, -132, 528, -2112, 8448 ...
33
If Mr. Robertson had an unlimited budget, what would be his first stop on his vacation around the world?
Greece!
Factor x2 - 10x - 24.
(x-12)(x+2)
Looking at the explicit formula below for a arithmetic sequence, what is common difference?
f(n) = -5n + 12
d = -5
Arithmetic, Geometric, or Neither?
If the sequence is arithmetic or geometric, identify d or r.
81, -27, 9, -3, 1, -1/3, 1/9, ..
Geometric
R=-1/3
49.5, 43, 36.5, 30, ____ , ...
23.5
Mr. Robertson's next vacation will be taken here:
The Florida Keys
Solve the following system of equations for (x, y):
(2,3)