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15 December, 02:51

Which sequence is geometric and has 1/4 as its fifth term and 1/2 as the common ratio?

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  1. 15 December, 06:15
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    5th term = a1r^4 where a1 = first term and r = common ratio

    so 1/4 = a1 * (1/2) ^4

    a1 = 1/4 / (1/2) ^4 = 4

    so the sequence is 4, 4*1/2, 4 * (1/2) ^2 ...

    = 4, 2, 1, 1/2, 1/4 ...
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