please help me to find the first five terms of the recursively defined sequence of this problem with steps, a1=3;an=6an-1.

To find the first five terms of the recursively defined sequence, we can start by understanding the general formula for finding the nth term. In this case, the formula is given as an = 6 * an-1. We are also given that a1 = 3.

Let's proceed step by step to find the first five terms:

1. Start with the initial value: a1 = 3.
2. Use the recursive formula to find a2. Substitute n = 2 into the formula: a2 = 6 * a2-1 = 6 * a1 = 6 * 3 = 18.
3. Continue to find a3. Substitute n = 3 into the formula: a3 = 6 * a3-1 = 6 * a2 = 6 * 18 = 108.
4. Proceed to find a4. Substitute n = 4 into the formula: a4 = 6 * a4-1 = 6 * a3 = 6 * 108 = 648.
5. Lastly, find a5. Substitute n = 5 into the formula: a5 = 6 * a5-1 = 6 * a4 = 6 * 648 = 3888.

Therefore, the first five terms of the recursively defined sequence are: 3, 18, 108, 648, 3888.

I think you are trying to define it as

a(1) = 3
a(n) = 6 a(n-1)

so ...
a(2) = 6 a(1) = 6(3) = 18
a(3) = 6 a(2) = 6(18) = 108
a(4) = 6 a(3) = 6(108) = 648
a(5) = 6 a(4) = 6(648) = 3888