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3 May, 21:11

Determine whether the sequence is a geometric sequence. Explain

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  1. 3 May, 21:29
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    Hello:

    the sequence is a geometric sequence : An+1=q*An q : is a common ratio

    or : q=An+1/An

    ex01:

    the sequence 3, 6, 12, 24, 48 is a geometric sequence because:

    48/24=24/12=12/6=6/3=2 (common ratio : q)

    ex02:

    the sequence : An = 5*3^n is a geometric sequence because:

    An+1 = 5*3^ (n+1)

    = 5*3^n * 3

    = 3 * (5*3^n)

    An+1 = 3*An (common ratio : q = 3)
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