In this question, it is given that the eighth term is 78 and the explicit formula is
![y=10x-2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ldf82nhsj7e08u5y33itto7q7s9a720ndy.png)
And the recursive formula is
![now = previous \ term +10](https://img.qammunity.org/2019/formulas/mathematics/middle-school/sghwihcapjasmqnpf9p3vd9il3mknhhobd.png)
And we have to find the 20th term . And for that, we put 20 for x in the explicit formula. That is
![y=10(20)-2 = 198](https://img.qammunity.org/2019/formulas/mathematics/middle-school/j2e4l8xsawiu7lyjouw447jvmiqowrzgli.png)
Therefore on using the explicit formula, we will get 198 as the 20th term .