Question

What is the 13 term of the sequence 2,6,18,54

Answer 1

Notice that:

`\begin{gathered} 2=2*3^0, \\ 6=2*3^1, \\ 18=2*3^2, \\ 54=2*3^3. \end{gathered}`

Therefore, the rule to compute the nth term of the sequence is:

`a_n=2*3^(n-1).`

Substituting n=13 in the above equation we get:

`a_(13)=2*3^(13-1)=2*3^(12)=1062882.`

Answer: 1062882.