![\purple { \bold{ a_{10}=161414428}}](/tpl/images/1175/2960/ca5cc.png)
Step-by-step explanation:
Given sequence is: 4, 28, 196, 1372
28/4 = 7
196/28 = 7
1372/196 = 7
Since, the ratio of any two consecutive terms is same, so it is a geometric sequence.
Therefore,
Common ratio r = 7
First term a = 4
nth term of a geometric sequence is given as:
![a_n=ar^{n-1} \\ \\\implies \\ \\ a_{10}=4.7^{10-1} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4(40353607) \\ \\ \red{ \bold{ a_{10}=161414428}}](/tpl/images/1175/2960/2ea22.png)