determine whether each sequence is arithmetic or geometric. Find the next three terms.
1. 14,19,24,29
a. Geometric, 34, 39, 44
b. arithmetic, 32, 36, 41
c. arithmetic, 34, 39, 44
d. the sequence is neither geometric or arithmetic
I'll be glad to check your answer.
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arithmetic means add or subtract ... geometric is multiply or divide
how do you get from one number to the next?
what would be the next three numbers
To determine whether a sequence is arithmetic or geometric, we need to look for a consistent pattern in the differences or ratios between the terms.
For the sequence given: 14, 19, 24, 29
To check whether it is an arithmetic sequence, we calculate the difference between consecutive terms:
19 - 14 = 5
24 - 19 = 5
29 - 24 = 5
Since the differences between each pair of consecutive terms are equal (5), the sequence is arithmetic.
To find the next three terms, we continue the pattern by adding the common difference to the last term (29):
29 + 5 = 34
34 + 5 = 39
39 + 5 = 44
Therefore, the next three terms of the arithmetic sequence are 34, 39, 44.
The correct answer is:
c. arithmetic, 34, 39, 44