(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

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(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

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Thanh Hà 5 years 2021-08-28T15:54:46+00:00 1 Answers 24 views 0

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  1. Thunguyet
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    2021-08-28T15:56:02+00:00
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    Answer:

    \frac{2}{81}

    Step-by-step explanation:

    There is a common ratio between consecutive terms in the sequence

    r = \frac{-\frac{2}{3} }{2} = \frac{\frac{2}{9} }{-\frac{2}{3} } = \frac{-\frac{2}{27} }{\frac{2}{9} } = – \frac{1}{3}

    To find a term in the sequence multiply the previous term by – \frac{1}{3} , then

    a₅ = – \frac{1}{3} × a₄ = – \frac{1}{3} × – \frac{2}{27} = \frac{2}{81}

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )