Find the 10th term of the geometric sequence 10, -20, 40, …

Question

Find the 10th term of the geometric sequence 10, -20, 40, …

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Jasmine 2 weeks 2021-10-04T07:43:32+00:00 2 Answers 0

Answers ( )

    0
    2021-10-04T07:44:51+00:00

    Answer:

    -5120

    Step-by-step explanation:

    a = 10

    r = -2

    Tenth term: 10(-2)⁹

    = -5120

    0
    2021-10-04T07:45:15+00:00

    Answer: the 10th term is – 5120

    Step-by-step explanation:

    In a geometric sequence, consecutive terms differ by a common ratio.

    The formula for determining the nth term of a geometric progression is expressed as

    an = a1r^(n – 1)

    Where

    a1 represents the first term of the sequence.

    r represents the common ratio.

    n represents the number of terms.

    From the information given,

    a1 = 10

    r = – 20/10 = 40/ – 20 = – 2

    n = 10

    The 10th term, T10 is

    T10 = 10 × – 2^(10 – 1)

    T10 = 10 × – 2^9

    T10 = 10 × – 512

    T10 = – 5120

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