Q. What kind of sequence is this?626,626,626,626,…Choices:(A) arithmetic(B) geometric(C) both(D) neither
Check Differences Uniform: Check if the differences between consecutive terms are uniform. Given sequence: 626,626,626,626,ext... Calculate the differences: 626−626=0, 626−626=0, 626−626=0. All differences are 0.
Check Ratios Consistent: Check if the ratios between consecutive terms are consistent. Given sequence: 626,626,626,626,extellipsis Calculate the ratios: 626/626=1, 626/626=1, 626/626=1. All ratios are 1.
Determine Sequence Type: Determine the type of sequence. An arithmetic sequence has a constant difference between terms, which is 0 here. A geometric sequence has a constant ratio between terms, which is 1 here. Therefore, the sequence is both arithmetic and geometric.
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