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Answer :
The sequences that are geometric are: 10, 5.625, 4.21875, ... and 5, 6.05, 6.655, ...
A geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a constant factor called the common ratio. In the given options, the sequences 10, 5.625, 4.21875, ... and 5, 6.05, 6.655, ... follow this pattern.
In the sequence 10, 5.625, 4.21875, ..., each term is obtained by multiplying the previous term by the common ratio of 0.5625. This constant ratio is evident as each term is approximately 0.5625 times the previous term.
Similarly, in the sequence 5, 6.05, 6.655, ..., each term is obtained by multiplying the previous term by the common ratio of approximately 1.21. This multiplication factor of 1.21 is consistent throughout the sequence.
Therefore, these two sequences exhibit the characteristics of a geometric sequence.
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