Complete the pattern
5, 10, 30, 60, 180, _____?????
Answer: the next term will be 360.
Explanation:
Since we have given that
\(5,10,30,60,180,........\)
There is a pattern followed, i.e. :
\(5\times 2=10\\\\10\times 3=30\\\\30\times 2=60\\\\60\times 3=180\)
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
\(180\times 2 = 360\)
So, the next term will be 360.