Answer:
2. Check your work
3. Correct
Explanation:
2. The equation tells you ...
![a_2=2a_1+4=2(-1)+4=-2+4=2](https://img.qammunity.org/2020/formulas/mathematics/high-school/ruxjdgyno88f2pezsmabx16rbaxujwza6g.png)
Only one answer choice has +2 as the second term of the sequence. The one you selected is not it.
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3. The expression can be simplified to ...
![a_n=((n+3)!)/(n+3)=(n+2)!](https://img.qammunity.org/2020/formulas/mathematics/high-school/frb7fl8psbpj6ws7z721rkmzp4cnzpslgv.png)
Filling in n=1 tells you all you need to know:
![a_1=(1+2)!=3\cdot 2\cdot 1=6](https://img.qammunity.org/2020/formulas/mathematics/high-school/q64ba9u6zqkznh7ldt97auin1xi1ggs1bo.png)
The answer you selected has a first term of 6, so your choice is correct.