Question

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

Answer 1

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.