Q. What kind of sequence is this?960,960,960,960,…Choices:(A) arithmetic(B) geometric(C) both(D) neither
Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 960,960,960,960,ext... Are the consecutive differences in the sequence equal? 960−960=0, 960−960=0, 960−960=0. The consecutive differences in the sequence are equal and are all zero.
Check Ratios Between Terms: Let's check whether the ratios between consecutive terms are equal. Given sequence: 960,960,960,960,ext... Are the ratios between consecutive terms in the sequence equal? 960/960=1, 960/960=1, 960/960=1. Yes, the sequence has a common ratio of 1.
Sequence Type Analysis: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. 960,960,960,960,... What type of sequence is this? The sequence has a common difference of 0 and a common ratio of 1. It satisfies the conditions for both an arithmetic and a geometric sequence.
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