Given that the first term is: T1 = 2, and the recursive definition is: t n + 1 = 3 (t n), what would be the 2nd term

Group of answer choices

3

9

27

81

The second term of the sequence is T (2) = 6.

Step-by-step explanation:

Here, the first term is given as

T (1) = 2

The general Formula for nth term is given as:

T (n + 1) = 3 (T (n))

Now, here the second term

for, n = 1

T (1+1) = 3 (T (1))

or, T (2) = 3 T (1)

⇒ T (2) = 3 x 2 = 6

Hence, the second term of the sequence is T (2) = 6.