Determine whether each sequence is anthmetic or geometric. Find the next three terms 14, 19, 24, 29
(1 point)
A geometric, 34, 39, 44
B arithmetic, 32, 36, 41
C anthmetic 34, 39, 44
D The sequence is neither geometric nor arithmetic
The given sequence is arithmetic. To determine the next three terms, we need to identify the common difference.
First, find the difference between consecutive terms:
19 - 14 = 5
24 - 19 = 5
29 - 24 = 5
Since the difference between each consecutive term is 5, the common difference is 5.
The next three terms in the arithmetic sequence would be:
29 + 5 = 34
34 + 5 = 39
39 + 5 = 44
Therefore, the next three terms are 34, 39, 44.
The correct answer is C, arithmetic, 34, 39, 44.