Q. What kind of sequence is this?884,884,884,884,…Choices:(A) arithmetic(B) geometric(C) both(D) neither
Check Constant Difference: An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the previous term. Let's check if the given sequence has a constant difference.Difference between terms: 884−884=0
Identify Arithmetic Sequence: Since the difference between any two consecutive terms is 0, which is constant, the sequence can be considered an arithmetic sequence with a common difference of 0.
Check Common Ratio: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. Let's check if the given sequence has a common ratio.Ratio between terms: 884884=1
Identify Geometric Sequence: Since the ratio between any two consecutive terms is 1, which is constant and non-zero, the sequence can be considered a geometric sequence with a common ratio of 1.
Final Conclusion: The sequence is both an arithmetic sequence with a common difference of 0 and a geometric sequence with a common ratio of 1. Therefore, the correct choice is (C) both.