Answer:
7) is not an arithmetic sequence...
9)
![0.5 \cdot 4^x](https://img.qammunity.org/2022/formulas/mathematics/college/qimi1j4ft5nou38djv9qyieuv45nvbrqmc.png)
10)
![-0.25 \cdot (-8)^x](https://img.qammunity.org/2022/formulas/mathematics/college/stugk9g9e31y10kss0866o9c1gm0cy652k.png)
Explanation:
7 is not an arithmetic sequence because consecutive terms of the sequence do not have a constant common difference.
9 has a first term of 0.5 and has a common ratio of 4 (the quotient between the second term and first, then third term and second, etc.). Thus, your equation is
![0.5 \cdot 4^x](https://img.qammunity.org/2022/formulas/mathematics/college/qimi1j4ft5nou38djv9qyieuv45nvbrqmc.png)
10 has a first term of -0.25 and has a common ratio of -8 (the quotient between the second term and first, then third term and second, etc.). Thus, your equation is
![-0.25 \cdot (-8)^x](https://img.qammunity.org/2022/formulas/mathematics/college/stugk9g9e31y10kss0866o9c1gm0cy652k.png)