Consider the sequence: 1536, 768, 384, 192, 96, … Determine the 11th term of the sequence. Group of answer choices 1.5

Question

Consider the sequence: 1536, 768, 384, 192, 96, … Determine the 11th term of the sequence. Group of answer choices
1.5
3
6
12

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Rylee 6 days 2021-10-12T09:08:47+00:00 2 Answers 0

Answers ( )

    0
    2021-10-12T09:09:50+00:00

    Answer:

    1.5

    Step-by-step explanation:

    The sequence given is a geometric progression (G.P). For a G.P where the first term is a, the common ratio (which is the ratio between successive terms), the nth term of the GP is given as

    Tn = ar^n-1

    From the sequence given  

    a = 1536

    r = 768/1536

    = 1/2

    = 0.5

    Hence the 11th term of the sequence

    T11 = 1536 (1/2)^11-1

    = 1536 (1/2)^10

    = 1536/1024

    = 1.5

    0
    2021-10-12T09:10:15+00:00

    Answer:

    The answer is 1.5

    Step-by-step explanation:

    You have to find the pattern and work your way down to the 11th term.

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