Sequences and Series PreCalculus 8-1.

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Presentation transcript:

Sequences and Series PreCalculus 8-1

Sequences & Series

Sequences & Series

Sequences & Series

Sequences & Series

Sequences & Series

Sequences & Series

Sequences & Series

Sequences and Series TI-84 Instructions Mode key Fourth line select SEQ, for sequences Sequences and Series

Sequences and Series TI-84 Instructions FORMAT (2nd zoom) should be on Time Y= key to enter sequence Sequences and Series

Sequences and Series TI-84 Instructions For our example 3n2 – 5 enter u(n)=3n2 – 5 TABLE (2nd GRAPH) to see a table of the sequence Sequences and Series

TI-84 Instructions Sequences and Series

Sequences & Series

Sequences & Series

Sequences & Series

Recursive Formulas Sequences & Series

Sequences and Series TI-84 Instructions To reference a previous number use the 2nd 7 key to get a small “u” then in parenthesis put the n from the “x” key Include a value for u(nMin) Sequences and Series

Sequences & Series

Sequences & Series nMin=1 u(n)=3*(u(n – 1)+2) u(nMin)=(1) Practice this on your calculator nMin=1 u(n)=3*(u(n – 1)+2) u(nMin)=(1) Sequences & Series

Sequences & Series

list braces Sequences & Series

Sequences & Series

Sequences & Series

Sequences & Series

Practice this on your calculator Sequences & Series

Sequences & Series nMin=1 u(n)=2/2^n u(nMin)={0.5} v(n)=v(n-1)+u(n-1) Practice this on your calculator nMin=1 u(n)=2/2^n u(nMin)={0.5} v(n)=v(n-1)+u(n-1) v(nMin({0} Sequences & Series

Practice this on your calculator Sequences & Series

You can also graph this on your calculator Sequences & Series

Sequences & Series

Sequences & Series

Calculator Result Sequences & Series

Sequences & Series Calculator TI 84 2nd List Right, Right, 5 Screen displays sum( 2nd List Right, 5 Screen displays sum(seq( Enter - Formula, Variable, Start value, end value)) Sequences & Series

Sequences & Series

Sequences & Series

Sequences & Series

An infinite series is denoted with an infinity series for the end value Sequences & Series

Sometimes an infinite series converges on a single number, not infinity Sequences & Series

5 Sequences & Series

165580141 Sequences & Series

5 n 21 Sequences & Series

2x10-n 0.00002 0.222222 Sequences & Series

0.0002 2x10-n+1 2.22222 Sequences & Series

12 2n+2 54 Sequences & Series

1/25 (-1)n+1 1/n2 973/1200 Sequences & Series

Homework Pages 563 – 565 7–13odd,21,23,27,31,33,41–47odd