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Step-by-step explanation:

Question 2a

[tex]\text{Notice } 1=1^3, 8=2^3,\cdots, 125=5^3[/tex]

[tex]\text{So the }n^{\text{th}} \text{ term is } a_n=n^3[/tex]

Question 2b

[tex]\text{Notice the denominator is always larger than the numerator by 2, and the denominator of the }n^{\text{th}}\text{ is exactly }n.[/tex]

[tex]\text{So the }n^{\text{th}}\text{ term is }a_n=\frac{n+2}{n}[/tex]

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