(Solved): this is discrete math   for number 4 add justification 10. Let \( a_{n} ...

 
for number 4 add justification

10. Let \( a_{n}=3 a_{n-1}-2 a_{n-2} \) where \( a_{0}=7 \& a_{1}=-4 \). Find \( a_{4} \) 11. Compute the following series, (10) b. \( \quad \sum_{i=1}^{4} \Pi_{j=1}^{2}(i+j)=(i+1 \) 9. Given the function \( f(x)=3 x+4 \) where \( x \in \mathbb{Z} \) (8) a. Is \( f(x) \) one to one? b. Is \( f(x) \) onto? (c.) Is \( f(x) \) bijective? d. Does \( f(x) \) have an inverse? Why or why not? 4. Use logical equivalences to simplify. (8) Steps \[ \neg(p \wedge \neg q) \wedge(\neg q \rightarrow p) \]