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Math Help - Sequences

  1. #1
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    Sequences

    Determine whether the given sequence is arithmetic, geometric or neither. If the sequence is arithmetic, find the common difference; if the sequence is geometric, find the common ratio.

    (1) {8 - 3n/4}

    (2) {(5/4)^n}
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by magentarita View Post
    Determine whether the given sequence is arithmetic, geometric or neither. If the sequence is arithmetic, find the common difference; if the sequence is geometric, find the common ratio.

    (1) {8 - 3n/4}

    (2) {(5/4)^n}
    For an arithmetic sequence there are constants a and b such that the n-th term can be written in the form:

    a+bn

    For a geometric sequence there are constants a and b such thatthe n-th term can be written in the form:

    ab^n.

    Now look at the two cases given in your question and you shound be able to answer this your self.

    CB
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  3. #3
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    Thanks...

    Quote Originally Posted by CaptainBlack View Post
    For an arithmetic sequence there are constants a and b such that the n-th term can be written in the form:

    a+bn

    For a geometric sequence there are constants a and b such thatthe n-th term can be written in the form:

    ab^n.

    Now look at the two cases given in your question and you shound be able to answer this your self.

    CB
    Thank you so much. I will take it from here.
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