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8 June, 19:28

A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 14

1.1.1. calculate the second difference of this quadratic pattern

1.1.2. hence or otherwise, calculate the first term of term

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Answers (1)
  1. 8 June, 22:07
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    Given are several terms in a quadratic pattern:

    a1 = ?

    a2 = 1

    a3 = - 16

    a4 = ?

    a5 = - 14

    let:

    x y

    1?

    2 1

    3 - 16

    4?

    5 - 14

    considering the 2nd term and 3rd term, we can determine a quadratic function:

    y = - 17x + 35

    therefore,

    a1 = 18

    a4 = - 33
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