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6 February, 08:42

When any term in this sequence is divided by the previous term, the result is always the same. 3, - 6, 12, - 24, ... What is the 7th term of this sequence?

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  1. 6 February, 09:00
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    192.

    Step-by-step explanation:

    Each term is found by multiplying by - 2:

    5th term = - 24*-2 = 48.

    6th term = 48*-2 = - 96

    7th term = - 96*-2 = 192.

    This is a geometric sequence with common ratio - 2.

    The nth term = 3 (-2) ^ (n-1).
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