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 Ms. Finnerty have?
Solve for x.
-8x - 4 = 12
x = -2
What is a geometric sequence?
A sequence that uses multiplication of a common ratio 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
Ms. Finnerty just moved here from this state.
Utah
Solve for x.
3x + 2 = - x - 2
x = -1
What does a1 represent?
the first term of a sequence
Arithmetic, Geometric, or Neither?
-6, -3, 0, 3, 6
Arithmetic
3, 11, ___ 27, 35 ...
19
What was Ms. Finnerty's very first job?
Harkins Theater
Solve for y in 2y + 5 = - 3y - 10.
y = -3
Looking at the explicit formula below for a arithmetic sequence, what is common difference?
y = 12 + 5(x-1)
d = 5
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
Find the 12th term of the sequence below.
-8, 1, 10, 19
91
How many countries has Ms. Finnerty traveled to?
Bonus points if you can name them all!
9
Mexico, Canada, Honduras, Costa Rica, France, Netherlands, Germany, Belize, The Bahamas.
Solve for y.
2(2y + 3) = 10y + 18
y = -2
Looking at the explicit formula below for a geometric sequence, what is the common ratio?
an=2*3^(n-1)
r = 3
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
Use the explicit rule to generate the first 4 terms of the sequence.
3n + 4
7, 10, 13, 16...
If Ms. Finnerty was not a teacher, what is her dream career?
Pilot
Evaluate when x = 3
4x + 2(x - 5)
8