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20 June, 12:19

Which infinite sequence is generated by the formula an = (-2) n?

-2, - 4, - 8, - 16, - 32, ...

-2, 4, - 8, 16, - 32, ...

2, - 4, 8, - 16, 32, ...

2, 4, 8, 16, 32, ...

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Answers (2)
  1. 20 June, 12:33
    0
    answer B
  2. 20 June, 12:34
    0
    -2, 4, - 8, 16, - 32, ...

    Step-by-step explanation:

    aₙ = (-2) ⁿ

    a₁ = (-2) ¹ = - 2

    a₂ = (-2) ² = 4

    a₃ = (-2) ³ = - 8

    a₄ = (-2) ⁴ = 16

    a₅ = (-2) ⁵ = - 32

    Each term has a factor of (-1) ⁿ. Thus, odd-numbered terms are negative, and even-numbered terms are positive

    The series is - 2, 4, - 8, 16, - 32, ...
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