What is the next term in the following sequence? 54, -18, 6, … 3 2 -3 -2

Question

What is the next term in the following sequence? 54, -18, 6, … 3 2 -3 -2

in progress 0
Caroline 2 weeks 2021-09-26T18:33:36+00:00 2 Answers 0

Answers ( )

    0
    2021-09-26T18:35:11+00:00

    Answer:

    D. -2

    Step-by-step explanation:

    Hope it helped UwU

    0
    2021-09-26T18:35:30+00:00

    Answer:

    The next term is – 2last answer

    Step-by-step explanation:

    ∵ The sequence is 54 , -18 , 6 , ……

    ∵ -18 ÷ 54 = -\frac{1}{3}

    ∵ 6 ÷ -18 = -\frac{1}{3}

    – There is a constant ratio between each two consecutive terms

    ∴ The sequence is a geometric sequence

    The nth rule of the geometric sequence is a_{n}=a(r)^{n-1} , where

    • a is the first term
    • r is the constant ratio between each two consecutive terms

    ∵ The first term = 54

    ∴ a = 54

    ∵ The constant ratio = -\frac{1}{3}

    ∴ r =  -\frac{1}{3}

    ∵ The next term is the fourth term

    ∴ n = 4

    – Substitute a, r and n in the rule above

    a_{4}=54(-\frac{1}{3})^{4-1}

    a_{4}=54(-\frac{1}{3})^{3}

    a_{4}=54(-\frac{1}{27})

    a_{4}=-2

    The next term is – 2      

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )