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24 January, 09:37

How can you determine the relationship between corresponding terms? Give an example.

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  1. 24 January, 09:58
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    You have to try to determine the sequence, and you try two basic kind of sequences: aritymethic and geometric.

    In aritmetic sequeces the relationships is that the difference between any adjacent terms is constant.

    For example

    'Number of term (n) Term, An

    1 7

    2 11

    3 15

    4 19

    Then the relationship between adjacent terms is 19 - 15 = 4 = 15 - 11 = 4 = 11 - 7 = 4.

    You can find, then, a general expression that relates any term with its position.

    It is An = 7 + (n-1) * 4

    In geometric sequences the relationship is found dividing two adjacent terms, because the ratio is constant.

    For example:

    Number of term Term

    1 10

    2 20

    3 40

    4 80

    You can then find the relation as: 20/10 = 2 = 40/20 = 2 = 80/40 = 2.

    In this case the general term is An = 10 * 2^ (n-1)
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