Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
2, comma, 10, comma, 50, comma, point, point, .
2,10,50,...
To determine if the sequence is arithmetic or geometric, we can look at the ratio between consecutive terms.
To find the common difference (for an arithmetic sequence) or common ratio (for a geometric sequence), we can divide any term by the previous term.
The common ratio in the given sequence is 10/2 = 5.
Therefore, the sequence is geometric with a common ratio of 5.