Which expressions are equal to 49^x

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2020seogang

23.03.2021

Mathematics

Answer: $f(2) = 3$ ======we have $f(n+1) = -f(n) + 5$ if n=0, then $\begin{aligned} f(0+1) & = -f(0) + 5 \end{aligned}$ since $f(0) = 3$ , we substitute 3 for $f(0)$ $\begin{aligned} f(1) & = -3 + 5 \\ & = 2 \end{aligned}$ therefore, $f(1) = 2$ .if n=1, then we can use our f(1) value to calculate f(2): $\begin{aligned} f(n+1) & = -f(n) + 5 \\ f(1+1) & = -f(1) + 5 \\ f(2) & = -2 + 5 \\ & = 3 \end{aligned}$ so $f(2) = 3$

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