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30 November, 11:39

The nth term of a sequence is given by 20-n^2 a) find the third term of the sequence b) which term in the sequence is the first to have a negative value

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  1. 30 November, 13:03
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    The third term is 11.

    The first negative term is the fifth term.

    Step-by-step explanation:

    If the nth term of the sequence is given by the expression 20-n^2, to find the third term, we just need to use the value of n = 3 in the expression:

    20 - (3) ^2 = 20 - 9 = 11.

    To find which term is the first to have a negative value, we can solve the inequation 20 - n^2 < 0:

    20 - n^2 < 0

    n^2 > 20

    n > 4.47

    The first term to have a negative value is the fifth term:

    20 - 5^2 = 20 - 25 = - 5
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