Geometric Sequence 4Ccc1E

1. **State the problem:** We need to find the first six terms of a geometric sequence where the first term $a_1 = 5000$ and the common ratio $r = 1$. 2. **Formula for the $n$th term of a geometric sequence:** $$a_n = a_1 \times r^{n-1}$$ 3. **Calculate each term:** - $a_1 = 5000 \times 1^{0} = 5000$ - $a_2 = 5000 \times 1^{1} = 5000$ - $a_3 = 5000 \times 1^{2} = 5000$ - $a_4 = 5000 \times 1^{3} = 5000$ - $a_5 = 5000 \times 1^{4} = 5000$ - $a_6 = 5000 \times 1^{5} = 5000$ 4. **Explanation:** Since the common ratio $r = 1$, each term is the same as the first term. Multiplying by 1 any number of times does not change the value. 5. **Final answer:** The first six terms are $5000, 5000, 5000, 5000, 5000, 5000$.