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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

First, know that an arithmetic sequence has a common difference in such a way that in an arithmetic sequence: a,b,c; (b-a) should be equal to (c-b). Applying this principle, we would see that:

(5p+12) - (7p+2) = (2p-1) - (5p+12). Then by simplifying, 10 - 2p = -3p - 13 3p - 2p = -13 -10 p = -23

To check, just substitute -23 into each p. You would get: -159,-103,-47. This is an arithmetic sequence with common difference 56