You(student) are about to investigate the general term of a particular recurrence sequence, which is \(u_{n+1}=3u_{n}+4\) and it is given that \(u_{1}=2\).

By using induction method, you've tried \(4 \cdot 3^{n-1}-2\) and checked only \(u_{1}\) term. Sadly, one of your maths teacher insists that "You have to check for the initial terms which is 'both' \(u_{1} \)and \(u_{2}\)".

Who is right?

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