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20 September, 03:16

What is the equation for a geometric sequence with a first term of 2 and a second term of - 8?

an = 2 (8) n - 1

an = 2 (-8) n - 1

an = 2 (4) n - 1

an = 2 (-4) n - 1

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Answers (1)
  1. 20 September, 03:35
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    an = 2 (-4) ^ (n - 1)

    Step-by-step explanation:

    A geomteric sequence is in the form

    an = a1 (r) ^ (n-1)

    a1 = 2 and

    a2 = - 8

    -8 = 2 r ^ (2-1)

    Divide each side by 2

    -4 = r ^1

    r = - 4

    an = 2 (-4) ^ (n-1)
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