Respuesta :
Answer: the next term will be 360.
Explanation:
Since we have given that
[tex]5,10,30,60,180,........[/tex]
There is a pattern followed, i.e. :
[tex]5\times 2=10\\\\10\times 3=30\\\\30\times 2=60\\\\60\times 3=180[/tex]
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
[tex]180\times 2 = 360[/tex]
So, the next term will be 360.
