2nd Hour Pre-Calculus B (Spring 2012): 9.1- Sequences and Series

Wednesday, May 9, 2012

9.1- Sequences and Series

Domain= only NATURAL numbers

Example 1:
   n =  1 2 3 4 5 6
      3, 6, 11, 15, 19, 23...
ADD 4 for next term

Recursive formula:
   $a_{1}=3$
$a_{k+1}=a_{k}+4$ OR $a_{k}=a_{k-1}+4$
NEXT=NOW+4

Recursive= repeated thing based on what came first

Explicit Formula:
   $a_{n}=4n-1$
4n= Slope or Rate of Change

Example 2:
  n =  1 2 3 4 5 6
3, 6, 12, 24, 48, 96...
MULTIPLY by 2 for next term

Recursive formula:
   $a_{1}=3$
$a_{k+1}=2a_{k}$
NEXT=NOW* 2

Explicit Formula:
   $a_{n}=3\cdot 2^{n-1}$

2nd Hour Pre-Calculus B (Spring 2012)

Wednesday, May 9, 2012

9.1- Sequences and Series

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