# Base On Induction

Algebra Level 2

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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