Sequences and Functions Tell whether the sequence is arithmetic. If it is, identify the common difference. ( 1/2, 1/3, 1

Question

Sequences and Functions

Tell whether the sequence is arithmetic. If it is, identify the common difference. ( 1/2, 1/3, 1/6, 0 … )

Tell whether the sequence is arithmetic. If it is, identify the common difference. (-3, -7, -10, -14 …)

in progress 0
Eloise 2 weeks 2021-11-18T11:55:28+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-18T11:56:33+00:00

    Answer:

    -7

    Step-by-step explanation:

    did the deltamth

    0
    2021-11-18T11:57:09+00:00

    Answer:

    (a)Common Difference=-\dfrac{1}{6}

    (b)Not an arithmetic sequence.

    Step-by-step explanation:

    An arithmetic sequence is a sequence in which the next term is obtained from the previous term by the addition of a common constant.

    (a)Given the sequence:

    \dfrac{1}{2}, \dfrac{1}{3},\dfrac{1}{6},0,\cdots\\\dfrac{1}{3}-\dfrac{1}{2}=-\dfrac{1}{6}\\\dfrac{1}{6}-\dfrac{1}{3}=-\dfrac{1}{6}\\0-\dfrac{1}{6}=-\dfrac{1}{6}

    Clearly, this is an arithmetic sequence and the common difference is -\dfrac{1}{6}

    (b)Given the Sequence:

    -3, -7, -10, -14 …

    -7-(-3)=-7+3=-4

    -10-(-7)=-10+7=-3

    -14-(-10)=-14+10=-4

    This is not an arithmetic sequence as the constant term is not the same all true.

Leave an answer

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