Answer: the next term will be 360.
Explanation:
Since we have given that
![5,10,30,60,180,........](https://tex.z-dn.net/?f=5%2C10%2C30%2C60%2C180%2C........)
There is a pattern followed, i.e. :
![5\times 2=10\\\\10\times 3=30\\\\30\times 2=60\\\\60\times 3=180](https://tex.z-dn.net/?f=5%5Ctimes%202%3D10%5C%5C%5C%5C10%5Ctimes%203%3D30%5C%5C%5C%5C30%5Ctimes%202%3D60%5C%5C%5C%5C60%5Ctimes%203%3D180)
It means first term is multiplied by 2 to get the second term ,
Second term is multiplied by 3 to get the third term,
Third term is multiplied by again 2 to get the fourth term,
Fourth term is multiplied by again 3 to get the fifth term,
So, we need to calculate the sixth term , by following this pattern we get that
![180\times 2 = 360](https://tex.z-dn.net/?f=180%5Ctimes%202%20%3D%20360)
So, the next term will be 360.