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Question
For some integer q, every odd integer is of the form ______.
Options
q
q + 1
2q
2q + 1
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Solution
For some integer q, every odd integer is of the form 2q + 1.
Explanation:
Odd integers are those integers which are not divisible by 2.
Hence, we can say that every integer which is a multiple of 2 must be an even integer
While 1 added to every integer which is multiplied by 2 is an odd integer.
Therefore, let us conclude that,
For an integer ‘q’, every odd integer must be of the form
(2 × q) + 1 = 2q + 1.
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