High School

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Determine if the sequence is arithmetic or geometric. Then identify the next term in the sequence.

97, 108, 119, 130

A) Arithmetic; 141
B) Geometric; 141
C) Arithmetic; 140
D) Geometric; 140

Answer :

Final answer:

The sequence 97, 108, 119, 130 is an arithmetic sequence because the difference between each term is consistently 11. The next term in the sequence would then be 141.

Explanation:

When determining if a sequence is arithmetic or geometric, it's essential to examine the difference or ratio between the terms. An arithmetic sequence has a common difference between terms, while a geometric sequence has a common ratio. In your provided sequence (97, 108, 119, 130), we notice a consistent difference of 11 between the terms, suggesting it's an arithmetic sequence.

To identify the next term, simply add the common difference to the last term. Thus, 130 + 11 = 141.

So, your answer is A) *Arithmetic; 141*.

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