To find the first six terms of the sequence defined by a1 = 6 and an = 4an-1, we start by using the recursive formula to generate the terms.
- a1 = 6
- a2 = 4 * a1 = 4 * 6 = 24
- a3 = 4 * a2 = 4 * 24 = 96
- a4 = 4 * a3 = 4 * 96 = 384
- a5 = 4 * a4 = 4 * 384 = 1536
- a6 = 4 * a5 = 4 * 1536 = 6144
Thus, the first six terms of the sequence are:
- a1 = 6
- a2 = 24
- a3 = 96
- a4 = 384
- a5 = 1536
- a6 = 6144