AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Full solution
Q. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Check for Arithmetic Sequence: Determine if the sequence is arithmetic by checking if the differences between consecutive terms are constant.Calculation: , , .The differences between consecutive terms are all equal to .
- Confirm Arithmetic Sequence: Since the differences between consecutive terms are constant, we can conclude that the sequence is an arithmetic sequence.
- Check for Geometric Sequence: To check if the sequence is also geometric, we need to see if there is a common ratio between consecutive terms.Calculation: , , . Let's calculate these ratios., , .The ratios between consecutive terms are not equal.
- Confirm Geometric Sequence: Since the ratios between consecutive terms are not equal, the sequence is not a geometric sequence.
- Final Conclusion: Based on the calculations in the previous steps, we can conclude that the sequence is an arithmetic sequence but not a geometric sequence.
