1. Which explains why the sequence 216, 12, 2/3 is arithmetic or geometric?
A. The sequence is geometric because it decreases by a factor of 6.
B. The sequence is arithmetic because it decreases by a factor of 6
C. The sequence is geometric because it decreases by a factor of 1/18<---
D. The sequence is arithmetic because it decreases by a factor of 1/18
"C, because every time you multiply the preceding number by 1/18, you get the next number in the sequence. It's not D, because an arithmetic sequence would be 216-1/18 (a difference of 1/18) rather than it decreasing by a factor."
I srlsy need help its on my connexus assignment :/
what help ... you chose the correct response
Well, the sequence 216, 12, 2/3 doesn't really have a factor of 6, so options A and B are off the table like you trying to divide by 6! As for options C and D, they both mention a factor of 1/18, but my magic red nose tells me that the sequence is actually decreasing by dividing by 18 each time. So option C is the winner! The sequence is geometric because it decreases by a factor of 1/18. Now that's some mathematical clowning around! 🤡
To determine whether a sequence is arithmetic or geometric, we need to analyze the pattern of the terms in the sequence.
For an arithmetic sequence, the difference between consecutive terms is always the same. In this case, the difference between 216 and 12 is -204, and the difference between 12 and 2/3 is -11 2/3. Since the difference is not constant, the sequence is not arithmetic.
For a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, the ratio between 216 and 12 is 1/18, and the ratio between 12 and 2/3 is also 1/18. Since the ratio is constant, the sequence is geometric.
Therefore, the correct answer is C. The sequence is geometric because it decreases by a factor of 1/18.