Arithmetic and Geometric Sequences
December 10, 2013
What's Going On?
R.A.H.F.T.
Arithmetic and Geometric Sequences
Tipsy Questions
Learning Goal ­ I will be able to determine formulae to
describe arithmetic and geometric sequences.
Arithmetic and Geometric Sequences
December 10, 2013
R.A.H.F.T.
Read a Handout For Twenty
Please read through the handout I have provided with a partner or in a small group.
Then, try and answer the questions on the accompanying page.
Arithmetic and Geometric Sequences
December 10, 2013
Sequences
Arithmetic vs. Geometric
Arithmetic and Geometric Sequences
December 10, 2013
Arithmetic and Geometric Series
­62, ­43, ­24, ­5, 14 ...
The General Term
tn = a + (n – 1)d
The Recursive Formula
t1 = a, tn = tn‐1 + d, where n > 1
Arithmetic and Geometric Sequences
December 10, 2013
Arithmetic and Geometric Series
­5, 30, ­180, 1080, ­6480 ...
The General Term
tn = a × rn‐1
The Recursive Formula
t1 = a, tn = rtn‐1, where n > 1
Arithmetic and Geometric Sequences
Taking up the Table
December 10, 2013
Arithmetic and Geometric Sequences
December 10, 2013
Tipsy Questions
1. Determine the number of terms in each sequence
a) ­20, ­25, ­30, ­35, ... , ­205
Arithmetic and Geometric Sequences
December 10, 2013
Tipsy Questions
2. The 50th term of an arithmetic sequence is 238 and the 93rd term is 539. State the general term.
Arithmetic and Geometric Sequences
December 10, 2013
Tipsy Questions
3. The 5th term of a geometric sequence is 45 and the 8th term is 360. Determine the 20th term.
Arithmetic and Geometric Sequences
December 10, 2013
Tipsy Questions
What is the general term for the
a) Zeros of f(x) = sin x
b) Max values of f(x) = sin x
c) Min values of f(x) = sin x