Thursday, March 4, 2010

Arithmetic Sequencing

Write the function rule for the following Arithmetic sequences and explain why the rule works. Then give the answer for the 20th term.

Think of an application for arithmetic or geometric sequencing and give the reason for your choice.

11 comments:

  1. A(n)=-7+2(19)= 524281
    the second list of numbers i forgot to write down =(
    Arithmetic or geometric sequencing could probably be used when calculating an error on some sort of job, maybe like if a machine is getting errors every so often and you need to find out when the next error will occur so you use a geometric sequence to find out when the next error will be and you stop it. Also, Math can be magical Mrs. Murhpy. http://www.youtube.com/watch?v=M4vqr3_ROIk&feature=related
    -Jesse

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  2. A(n)=-7+2(19)= 524,281
    A(n)=2=2(19)= 524,290

    An arithmitic sequence can be used for scoring in a basketball game. The score increases by 2, but you would have to incorporate foul shots and three pointers. That is all i can think of. I can agree with Jesse that a machine can get errors and you need to find out how many times an error occurs, so you can stop it rom happening. That is a geometrical sequence as Jesse stated above.
    Brendan Mulligan

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  3. A(n)=-7+2(19)=524,281
    A(n)=2+2(19)=524,290
    If someone is a accountant, you need arithimitic to do the work like keeping the files and money up-to-date.
    math=mean toward to Tim
    tim....

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  4. A(n)= -7 +2(19)= 534, 281
    A(n)= 2 +2(19)= 524, 290
    I think brendan has a perfect example of how to use arithmitic sequence. In a basketball game, different shots are worth diferent amounts of points.It could also be used to keep your score in golf. The amount of shots you take to make the hole can increase in this way.
    -Anthony

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  5. A(n)=-7+2(19)=524,281
    A(n)=2+2(19)=524,290
    You can use geometric sequencing in calculating interest payments on savings or loans. Brendan's use of arithmetic sequencing is a good example because every shot point is consistent unless it is a three pointer or a foul shot.
    Simon Bellido

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  6. Cat said...
    The arithmetic sequences are:
    1. -7, -5, -3, -1, 1, 3. The rule is +2.
    2. 2, 4, 6, 8, 10, 12. The rule is +2.

    Sequences are number patterns. Each number in a sequence is a term of the sequence. There are two kinds of number sequences. They are arithmetic and geometric sequences. You can form an arithmetic sequence by forming a fixed number to each previous term. This fixed number is the common difference. In arithmetic sequence, each new term is found when adding the same amount to each previous term. In Geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio.

    Arithmetic Sequence
    A(n)= a + (n-1)d
    A(n)= nth term
    a=first term
    n=term number
    d=common difference
    A(20)=-7 + (20-1)X 2 A(20)=2 + (20-1) X 2
    A(20)=-7 + (19)X 2 A(20)=2 + (19) X 2
    A(20)=-7 + (38) A(20)=2 + (38)
    A(20)=31 A(20)=40

    How other people did it:
    A(n)=-7 + 2(19)= 534,281
    A(n)=2 + 2(19)=524,290

    An Application of Arithmetic sequences is what Brendan said. In a basketball game, a team scores 2 points every shot. The only problem is that the team can score with a 3 pointer or with a foul shot, one point. Another is the scoring in hockey. A third is the appearance of Halley's Comet, how people used arithmetic sequences with Halley's Comet. A fourth is AM radio frequencies. A fifth is constant pay sequencing. A sixth is Arithmetic progressions or arthematic mean. An eighth is average weight of a population. A ninth is the average marks of a class. A tenth knows the average performance of a set of performance data. While an application of geometric sequences is that it allows one who would like to know or capture the growth of the data set. A second is the growth in the returns of a mutual fund. A third is equity share. A fourth is any financial securities. A fifth is the performance of the company.
    Mark Soriano

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  7. A(n)= -7 + 2(19)= 534,281
    A(n)= 2 +2(19)= 524,290

    I think Brendan used the best possible application arithmetic sequences can be used. Otherwise another way it can be used is when something is consistent on a graph. Whether it be raised or lowered if its consistent being raised or lowered an arithmetic sequence can be formed for representation.
    Alex -

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  8. A(n)= -7 + 2(19)= 534,281
    A(n)= 2 +2(19)= 524,290

    I guess it can be used keeping a record for bassically anything. The score for sports is overused lol.

    math=mean toward to Tim
    Tims dumb..

    Kingston

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  9. A(n)= -7 +2(19)= 534, 281
    A(n)= 2 +2(19)= 524, 290

    I guess you can use it for keeping basically any record. The sports score is overused lol..

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  10. A(n)=-7+2(19)=524281
    A(n)=2+2(19)=524290

    You can actually use arithmetic and geometric sequencing in writing a simple JavaScript program such as a random number generator for a game or something.
    -madden-

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  11. Nice thread guys
    SAM - be nice, be sure to show good netiquette!

    The sports analogy is a good start at thinking of application, but is slightly flawed for sequencing. Can anyone guess why?

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