Q. What kind of sequence is this?711,711,711,711,…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: 711,711,711,711,ext... Are the consecutive differences in the sequence equal? 711−711=0, 711−711=0, 711−711=0. The consecutive differences in the sequence are equal and equal to zero.
Check Equal Ratios: Let's check whether the ratios between consecutive terms are defined and equal. Given sequence: 711,711,711,711,ext... Are the ratios between consecutive terms in the sequence equal? Since all terms are the same, the ratio of any term to the previous term is 711/711=1. The sequence has a common ratio of 1.
Sequence Type: Arithmetic & Geometric: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. 711,711,711,711,… What type of sequence is this? The sequence has a common difference of 0 and a common ratio of 1. Therefore, it is both an arithmetic and a geometric sequence.
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