The sequence given is defined using a recursion formula. write the first four terms of the sequence. a_1 =5 and a_n = 3a_n_1 + 3 for n > 2

The first four terms are:

Step-by-step explanation:

When we define a sequence using a recursive formula, the k-th term of the sequence depends ont the previous k-1 terms, so we have to compute these first.

We are given that the first term is .

If your recursive formula holds for n>2 (excluding n=2), you need to define the second term beforehand. Since the second term is not given, the recursive formula must hold true for n≥2. Apply the formula with n=2 to get  . Thus the second term is 18

Now, for n=3, . Hence the third term is 57.

For n=4, , then the fourth term is 174.