With the initial condition being $a_0$ = 3, and the relation being $a_n = 2a_{n - 1}$, what would the solution be? Any help would be greatly appreciated.
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Try to calculate $a_1$. You'll see that $a_1=2\times3$. Then $a_2=2a_1=2\times2\times3=2^2\times3$.
Conjecture that $a_n=3.2^n$ for all $n\ge 0$.
Prove by induction.
Faustus
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