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Find at least three different sequences beginning with the terms $3, 5, 7$ whose terms are generated by a simple formula or rule.
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3,5,7.....

FIRST SEQUENCE

$a_{n}=2n+1,a_{1}=3$

SECOND SEQUENCE

$a_{n}=a_{n-1}+1,a_{1}=3$

THIRD SEQUENCE

$a_{n}=a_{n-1}+a_{n-2}-1,a_{1}=3,a_{2}=5$

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