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Answer :

[tex]\begin{gathered} g_n=(-2)g_{n-1} \\ g_1=5 \end{gathered}[/tex][tex]\begin{gathered} C\text{.} \\ f(n)=5(-2)^{n-1} \\ f(1)=5(-2)^0 \\ f(1)=5 \end{gathered}[/tex]

C.