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Turkey Contests
National Olympiad First Round
2008 National Olympiad First Round
30
30
Part of
2008 National Olympiad First Round
Problems
(1)
Turkey NMO 2008 1st Round - P30 (Number Theory)
Source:
8/27/2012
In a sequence with the first term is positive integer, the next term is generated by adding the previous term and its largest digit. At most how many consequtive terms of this sequence are odd?
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2
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3
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4
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D
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5
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<span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ 3 \qquad<span class='latex-bold'>(C)</span>\ 4 \qquad<span class='latex-bold'>(D)</span>\ 5 \qquad<span class='latex-bold'>(E)</span>\ 6
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3
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4
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6