Respuesta :

Answer:

[tex]T_{n+1}\text{ = 3}\times T_n[/tex]

Explanation:

Here, we want to write the recursive formula

Looking at the sequence of numbers, we see that the succeeding term is 3 times the preceding term

Thus, we have the sequence as follows:

[tex]\begin{gathered} T_n\text{ = 3}\times\text{ T}_{n-1} \\ or\text{ } \\ T_{n+1}\text{ = 3}\times\text{ T}_n \end{gathered}[/tex]

where:

Tn+1 is the term after Tn

and

Tn is the term after Tn-1