Classify the sequence {a_n}={1,16,31,46} as arithmetic geometric or neither
The given sequence {a_n} = {1, 16, 31, 46} is not an arithmetic sequence because the common difference between consecutive terms is not constant.
To check if it is a geometric sequence, we can divide each term by the previous term:
16 / 1 = 16
31 / 16 ≈ 1.9375
46 / 31 ≈ 1.4839
The ratios are not approximately equal, so the sequence is not a geometric sequence either.
Therefore, the sequence {a_n} = {1, 16, 31, 46} is neither an arithmetic sequence nor a geometric sequence.