1. DAY 30 AGENDA:
Quiz Tues

2. Unit #4: Sequences & Series
Accel Precalc
Unit #4: Sequences & Series
Lesson #1: Sequences and Series
EQ: How do you evaluate a finite series?

3. New Terms:
Mathematical Sequence
--- function notation made up of terms using subscript notation
a1, a2, a3, a4, …, an
--- sequence of values from 1 to 
Infinite Sequence
Finite Sequence
--- sequence for first n
positive integers

4. Explicit --- allows you to find ANY term in the sequence
RECALL:
What is the difference between the recursive and the explicit formula for a sequence?
Explicit --- allows you to find ANY term in the sequence
Recursive --- allows you to find the NEXT term only

5. Are these sequence formulas
explicit or recursive?
Explicit --- can obtain any term in the sequence

6. Ex. Find the first 4 terms of the following
sequence.
a4 = 4(32)
a2 = 4(2)
a3 = 4(8)
Is this sequence formula explicit or recursive?
Recursive --- can only obtain next term from
previous term

7. Recall:
What does the notation n! mean?
Factorial --- (n)(n – 1)(n – 2)… (2)(1)
What does 0! = ? 1

8. Ex. Find the first four terms in the sequence
begin with n = 0.
Ex. Evaluate. 28 2 n

9. Assignment: Textbook
p Odds #1 – 21,

11. Ex. Evaluate the following.

13. Assignment: Textbook
p Odds #

14. Ex. Express each of the following
using summation notation.
… + 20
i … 20
f(i) … 20
f  i 20

15. Try these on your own:

16. Series
--- sum of the terms of a sequence from
k = 1 to k = i
a1 + a2 + a3 + a4 + … + ai + …
Infinite Series
--- sum of all terms of the infinite sequence

17. Finite Series or nth Partial Sum
--- sum of the first n terms of a sequence
Ex. Find the indicated partial sum of the series.

19. Assignment: p ODDS #1 – 21, 29 – 33,
, 69 – 89,
105, 107