Hello there! The next two terms in this arithmetic sequence are 162 and 486.
This set of terms has a rule that for each corresponding number, we multiply by 3.
2 x 3 = 6
6 x 3 = 18
18 x 3 = 54
By following this rule, we can multiply our last used number by 3 to get what our next term is.
54 x 3 = 162
Our terms now look like this:
2; 6; 18; 54; 162
Again, we multiply the last used number.
162 x 3 = 486
Now our set looks like this:
2; 6; 18; 54; 162; 486
By multiplying each corresponding term by 3, we have identified the rule and the next two terms in our set.
The next two terms of 2; 6; 18; 54 are 162 and 486. If you need any extra help, let me know and I will gladly assist you.