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17 March, 10:15

List the first ten terms of a sequence whose first term is - 10 and whose common difference is - 2.

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  1. 17 March, 13:44
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    Let a (0) represent the first term; its value is - 10. The next term is found by subtracting 2 from - 10, obtaining - 12. Each new term is created by subtracting 2 from the previous one. Thus, the formula for the nth term is

    a (n) = a (0) - 2 (n-1), or a (n) = - 10-2 (n-1).

    First term: - 10

    Second: - 12

    Third: - 14,

    ...

    Tenth term: a (10) = - 10-2 (10-1) = - 10 - 18 = - 28
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