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The next two terms of 2;6;18;54

Sagot :

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.