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Math Help - Sequences, find the term

  1. #1
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    Sequences, find the term

    Find the 250th term of the sequence:
    Attached Thumbnails Attached Thumbnails Sequences, find the term-math25.jpg  
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  2. #2
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    Start listing terms (by Pigeonhole principle it must repeat),
    a_1=5
    a_2=7
    a_3=6
    a_4=14
    a_5=10
    a_6=12
    a_7=11
    a_8=4
    a_9=0
    a_10=2
    a_11=1
    a_12=9
    a_13=5
    Aha! It repeats.
    Thus, find the remaind what 250 leaves upon divison by 12 (because it repeats after 12).
    Which is 10.
    Thus, it is the 10-th term in this sequence.
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