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10 January, 19:53

Which sequence is generated by the function f (n + 1) = f (n) - 2 for f (1) = 10?

*-10, - 12, - 14, - 16, - 18, ...

*-2, 8, 18, 28, 38, ...

*8, 18, 28, 38, 48, ...

*10, 8, 6, 4, 2, ...

+2
Answers (2)
  1. 10 January, 19:55
    0
    So we're given f (1) right?

    f (1) = 10

    so that means that f (2) will be:

    f (2) = f (1) - 2 since f (1) = 10, plug it in!

    f (2) = 10 - 2

    f (2) = 8

    now f (3):

    f (3) = f (2) - 2

    f (3) = 8 - 2

    f (3) = 6

    hence, we see that it is decreasing by two and the only sequence decreasing by two is the last one

    answer: 10,8,6,4,2
  2. 10 January, 20:17
    0
    F (n+1) = f (n) - 2

    f (1) = 10

    f (n+1) is the next term after f (n)

    we see that the first term is 10

    we can imediatel see that the answer is the last option since that is the only one starting with 10

    but anyway

    f (n+1) = f (n) - 2

    to get to the 2nd term, subtract 2 from the first term

    10,8,6,4,2,0,-2 ...

    last one is the answer
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