In the diagram, NQ is a diameter of R, mMN= (6x+33), and mNP= (5+10x). Find mMP
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Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
Ratios:
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.