4. A sequence of numbers is defined by the rule: "Increase the number by 3, then double the result obtained." Determine the first and sixth terms of this sequence if its third term is 2014.
4. Let's denote the third term of the sequence as $a_{3}=2014$.

Then $a_{4}=(2014+3) \cdot 2=2017 \cdot 2=4034$,

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$a_{5}=(4034+3) \cdot 2=4037 \cdot 2=8074$ and

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$a_{6}=(8074+3) \cdot 2=8077 \cdot 2=16154$.

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Further, $a_{2}=2014: 2-3=1007-3=1004$

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and $a_{1}=1004: 2-3=502-3=499$.

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