To find the first six terms of the sequence defined by the initial term a1 = 4 and the recurrence relation an = an-1 + 8, we can start calculating each term step by step.
- a1: Given, a1 = 4
- a2: Using the recurrence relation, a2 = a1 + 8 = 4 + 8 = 12
- a3: a3 = a2 + 8 = 12 + 8 = 20
- a4: a4 = a3 + 8 = 20 + 8 = 28
- a5: a5 = a4 + 8 = 28 + 8 = 36
- a6: a6 = a5 + 8 = 36 + 8 = 44
After calculating, we find the first six terms of the sequence:
- a1 = 4
- a2 = 12
- a3 = 20
- a4 = 28
- a5 = 36
- a6 = 44