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Sequences and Series PreCalculus 8-1.

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Presentation on theme: "Sequences and Series PreCalculus 8-1."— Presentation transcript:

1 Sequences and Series PreCalculus 8-1

2 Sequences & Series

3 Sequences & Series

4 Sequences & Series

5 Sequences & Series

6 Sequences & Series

7 Sequences & Series

8 Sequences & Series

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

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

11 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

12 TI-84 Instructions Sequences and Series

13 Sequences & Series

14 Sequences & Series

15 Sequences & Series

16 Recursive Formulas Sequences & Series

17 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

18 Sequences & Series

19 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

20 Sequences & Series

21 list braces Sequences & Series

22 Sequences & Series

23 Sequences & Series

24 Sequences & Series

25 Practice this on your calculator
Sequences & Series

26 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

27 Practice this on your calculator
Sequences & Series

28 You can also graph this on your calculator
Sequences & Series

29 Sequences & Series

30 Sequences & Series

31 Calculator Result Sequences & Series

32 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

33 Sequences & Series

34 Sequences & Series

35 Sequences & Series

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

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

38 5 Sequences & Series

39 Sequences & Series

40 5 n 21 Sequences & Series

41 2x10-n Sequences & Series

42 0.0002 2x10-n+1 Sequences & Series

43 12 2n+2 54 Sequences & Series

44 1/25 (-1)n+1 1/n2 973/1200 Sequences & Series

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


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