Question

Match the sequence (term) with the correct type of sequence (definition).

Match Term Definition
128, 32, 8, 2, ... A) Arithmetic, common difference is 5
1, 3, 9, 27, ... B) Arithmetic, common difference is -3
5, 10, 15, 20, ... C) Geometric, common ratio is 0.25
20, 17, 14, 11, ... D) Geometric, common ratio is 3

Answer 1

The sequence 128, 32, 8, 2, ... is a geometric sequence with a common ratio of 1/4. The sequence 1, 3, 9, 27, ... is an exponential sequence with a common ratio of 3. The sequence 20, 17, 14, 11, ... is an arithmetic sequence with a common difference of 3.

Step-by-step explanation:

The sequence 128, 32, 8, 2, ... represents a geometric sequence because each term is obtained by multiplying the previous term by a constant common ratio of 1/4. This matches with option C) Geometric, common ratio is 0.25.

The sequence 1, 3, 9, 27, ... is an example of an exponential sequence because each term is obtained by multiplying the previous term by a constant common ratio of 3. This matches with option B) Arithmetic, common difference is -3.

The sequence 20, 17, 14, 11, ... represents an arithmetic sequence because each term is obtained by subtracting a constant common difference of 3 from the previous term. This matches with option A) Arithmetic, common difference is 5.

Answer 2

The correct answer among all the other choices is 20, 17, 14, 11, ... D) Geometric, common ratio is 3. This is the sequence (term) with the correct type of sequence (definition) among the examples given. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.