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Find p so that the numbers 7p+2, 5p+12, 2p-1, ... form an arithmetic sequence.
A. -8
B. -5
C. -13
D. -23


Sagot :

In order for these terms to be part of an arithmetic sequence, they should have a common difference - that is the difference between two consecutive terms are always the same. So:

2p - 1 - (5p + 12) = (5p + 12) - 7p - 2
9p + 1 = 2(5p + 12)
9p + 1 = 10p + 24
-23 = p

Therefore the answer is d.